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Finding the Fourth Proportional to 10,874.48, 16,311.96 and 9,242.48

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Solution

The fourth proportional to 10,874.48, 16,311.96 and 9,242.48 is: 13,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.48 : 16,311.96 = 9,242.48 : x
  2. Step 2: Convert to fraction form
    10,874.48/16,311.96 = 9,242.48/x
  3. Step 3: Cross multiply
    10,874.48x = 16,311.96 × 9,242.48
  4. Step 4: Simplify right side
    10,874.48x = 150,762,964.06
  5. Step 5: Solve for x
    x = 150,762,964.06/10,874.48
  6. Step 6: Final answer
    x = 13,863.92

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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.