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Finding the Fourth Proportional to 9,737.64, 14,666.31 and 9,053.22

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Solution

The fourth proportional to 9,737.64, 14,666.31 and 9,053.22 is: 13,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.64 : 14,666.31 = 9,053.22 : x
  2. Step 2: Convert to fraction form
    9,737.64/14,666.31 = 9,053.22/x
  3. Step 3: Cross multiply
    9,737.64x = 14,666.31 × 9,053.22
  4. Step 4: Simplify right side
    9,737.64x = 132,777,331.02
  5. Step 5: Solve for x
    x = 132,777,331.02/9,737.64
  6. Step 6: Final answer
    x = 13,635.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.