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Finding the Fourth Proportional to 10,892.70, 16,344.53 and 8,124.93

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Solution

The fourth proportional to 10,892.70, 16,344.53 and 8,124.93 is: 12,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.70 : 16,344.53 = 8,124.93 : x
  2. Step 2: Convert to fraction form
    10,892.70/16,344.53 = 8,124.93/x
  3. Step 3: Cross multiply
    10,892.70x = 16,344.53 × 8,124.93
  4. Step 4: Simplify right side
    10,892.70x = 132,798,162.13
  5. Step 5: Solve for x
    x = 132,798,162.13/10,892.70
  6. Step 6: Final answer
    x = 12,191.48

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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.