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Finding the Fourth Proportional to 9,931.68, 14,906.70 and 4,088.70

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Solution

The fourth proportional to 9,931.68, 14,906.70 and 4,088.70 is: 6,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.68 : 14,906.70 = 4,088.70 : x
  2. Step 2: Convert to fraction form
    9,931.68/14,906.70 = 4,088.70/x
  3. Step 3: Cross multiply
    9,931.68x = 14,906.70 × 4,088.70
  4. Step 4: Simplify right side
    9,931.68x = 60,949,024.29
  5. Step 5: Solve for x
    x = 60,949,024.29/9,931.68
  6. Step 6: Final answer
    x = 6,136.83

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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.