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Finding the Fourth Proportional to 6,775.18, 9,352.94 and 5,097.23

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Solution

The fourth proportional to 6,775.18, 9,352.94 and 5,097.23 is: 7,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.18 : 9,352.94 = 5,097.23 : x
  2. Step 2: Convert to fraction form
    6,775.18/9,352.94 = 5,097.23/x
  3. Step 3: Cross multiply
    6,775.18x = 9,352.94 × 5,097.23
  4. Step 4: Simplify right side
    6,775.18x = 47,674,086.36
  5. Step 5: Solve for x
    x = 47,674,086.36/6,775.18
  6. Step 6: Final answer
    x = 7,036.58

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Half scale
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Double scale
Find fourth proportional to 6,776.18, 9,354.32 and 5,098.23
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.