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Finding the Fourth Proportional to 7,775.25, 10,685.61 and 7,283.17

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Solution

The fourth proportional to 7,775.25, 10,685.61 and 7,283.17 is: 10,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.25 : 10,685.61 = 7,283.17 : x
  2. Step 2: Convert to fraction form
    7,775.25/10,685.61 = 7,283.17/x
  3. Step 3: Cross multiply
    7,775.25x = 10,685.61 × 7,283.17
  4. Step 4: Simplify right side
    7,775.25x = 77,825,114.18
  5. Step 5: Solve for x
    x = 77,825,114.18/7,775.25
  6. Step 6: Final answer
    x = 10,009.34

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Find fourth proportional to 3,887.63, 5,342.81 and 3,641.59
Half scale
Find fourth proportional to 15,550.50, 21,371.22 and 14,566.34
Double scale
Find fourth proportional to 7,776.25, 10,686.98 and 7,284.17
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.