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Finding the Fourth Proportional to 7,687.98, 10,614.24 and 5,916.24

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Solution

The fourth proportional to 7,687.98, 10,614.24 and 5,916.24 is: 8,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.98 : 10,614.24 = 5,916.24 : x
  2. Step 2: Convert to fraction form
    7,687.98/10,614.24 = 5,916.24/x
  3. Step 3: Cross multiply
    7,687.98x = 10,614.24 × 5,916.24
  4. Step 4: Simplify right side
    7,687.98x = 62,796,391.26
  5. Step 5: Solve for x
    x = 62,796,391.26/7,687.98
  6. Step 6: Final answer
    x = 8,168.13

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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.