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Finding the Fourth Proportional to 10,689.52, 14,747.52 and 5,972.08

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Solution

The fourth proportional to 10,689.52, 14,747.52 and 5,972.08 is: 8,239.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.52 : 14,747.52 = 5,972.08 : x
  2. Step 2: Convert to fraction form
    10,689.52/14,747.52 = 5,972.08/x
  3. Step 3: Cross multiply
    10,689.52x = 14,747.52 × 5,972.08
  4. Step 4: Simplify right side
    10,689.52x = 88,073,369.24
  5. Step 5: Solve for x
    x = 88,073,369.24/10,689.52
  6. Step 6: Final answer
    x = 8,239.23

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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.