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Finding the Fourth Proportional to 15,737.25, 23,605.89 and 6,503.49

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Solution

The fourth proportional to 15,737.25, 23,605.89 and 6,503.49 is: 9,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.25 : 23,605.89 = 6,503.49 : x
  2. Step 2: Convert to fraction form
    15,737.25/23,605.89 = 6,503.49/x
  3. Step 3: Cross multiply
    15,737.25x = 23,605.89 × 6,503.49
  4. Step 4: Simplify right side
    15,737.25x = 153,520,669.56
  5. Step 5: Solve for x
    x = 153,520,669.56/15,737.25
  6. Step 6: Final answer
    x = 9,755.24

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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.