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Finding the Fourth Proportional to 9,942.66, 14,906.46 and 8,572.14

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Solution

The fourth proportional to 9,942.66, 14,906.46 and 8,572.14 is: 12,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.66 : 14,906.46 = 8,572.14 : x
  2. Step 2: Convert to fraction form
    9,942.66/14,906.46 = 8,572.14/x
  3. Step 3: Cross multiply
    9,942.66x = 14,906.46 × 8,572.14
  4. Step 4: Simplify right side
    9,942.66x = 127,780,262.02
  5. Step 5: Solve for x
    x = 127,780,262.02/9,942.66
  6. Step 6: Final answer
    x = 12,851.72

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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.