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Finding the Fourth Proportional to 15,737.25, 23,609.52 and 5,349

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Solution

The fourth proportional to 15,737.25, 23,609.52 and 5,349 is: 8,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.25 : 23,609.52 = 5,349 : x
  2. Step 2: Convert to fraction form
    15,737.25/23,609.52 = 5,349/x
  3. Step 3: Cross multiply
    15,737.25x = 23,609.52 × 5,349
  4. Step 4: Simplify right side
    15,737.25x = 126,287,322.48
  5. Step 5: Solve for x
    x = 126,287,322.48/15,737.25
  6. Step 6: Final answer
    x = 8,024.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.