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Finding the Fourth Proportional to 10,452.91, 14,425.13 and 5,737.09

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Solution

The fourth proportional to 10,452.91, 14,425.13 and 5,737.09 is: 7,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.91 : 14,425.13 = 5,737.09 : x
  2. Step 2: Convert to fraction form
    10,452.91/14,425.13 = 5,737.09/x
  3. Step 3: Cross multiply
    10,452.91x = 14,425.13 × 5,737.09
  4. Step 4: Simplify right side
    10,452.91x = 82,758,269.07
  5. Step 5: Solve for x
    x = 82,758,269.07/10,452.91
  6. Step 6: Final answer
    x = 7,917.25

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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.