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Finding the Fourth Proportional to 10,491.25, 14,477.93 and 5,775.84

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Solution

The fourth proportional to 10,491.25, 14,477.93 and 5,775.84 is: 7,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.25 : 14,477.93 = 5,775.84 : x
  2. Step 2: Convert to fraction form
    10,491.25/14,477.93 = 5,775.84/x
  3. Step 3: Cross multiply
    10,491.25x = 14,477.93 × 5,775.84
  4. Step 4: Simplify right side
    10,491.25x = 83,622,105.94
  5. Step 5: Solve for x
    x = 83,622,105.94/10,491.25
  6. Step 6: Final answer
    x = 7,970.65

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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.