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Finding the Fourth Proportional to 12,737.85, 17,578.31 and 7,073.01

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Solution

The fourth proportional to 12,737.85, 17,578.31 and 7,073.01 is: 9,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.85 : 17,578.31 = 7,073.01 : x
  2. Step 2: Convert to fraction form
    12,737.85/17,578.31 = 7,073.01/x
  3. Step 3: Cross multiply
    12,737.85x = 17,578.31 × 7,073.01
  4. Step 4: Simplify right side
    12,737.85x = 124,331,562.41
  5. Step 5: Solve for x
    x = 124,331,562.41/12,737.85
  6. Step 6: Final answer
    x = 9,760.80

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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.