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Finding the Fourth Proportional to 10,737.72, 14,739.02 and 9,532.44

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Solution

The fourth proportional to 10,737.72, 14,739.02 and 9,532.44 is: 13,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.72 : 14,739.02 = 9,532.44 : x
  2. Step 2: Convert to fraction form
    10,737.72/14,739.02 = 9,532.44/x
  3. Step 3: Cross multiply
    10,737.72x = 14,739.02 × 9,532.44
  4. Step 4: Simplify right side
    10,737.72x = 140,498,823.81
  5. Step 5: Solve for x
    x = 140,498,823.81/10,737.72
  6. Step 6: Final answer
    x = 13,084.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.