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Finding the Fourth Proportional to 6,566, 9,061.20 and 3,772.16

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Solution

The fourth proportional to 6,566, 9,061.20 and 3,772.16 is: 5,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566 : 9,061.20 = 3,772.16 : x
  2. Step 2: Convert to fraction form
    6,566/9,061.20 = 3,772.16/x
  3. Step 3: Cross multiply
    6,566x = 9,061.20 × 3,772.16
  4. Step 4: Simplify right side
    6,566x = 34,180,296.19
  5. Step 5: Solve for x
    x = 34,180,296.19/6,566
  6. Step 6: Final answer
    x = 5,205.65

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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.