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Finding the Fourth Proportional to 7,142.07, 10,713.11 and 3,443.61

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Solution

The fourth proportional to 7,142.07, 10,713.11 and 3,443.61 is: 5,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.07 : 10,713.11 = 3,443.61 : x
  2. Step 2: Convert to fraction form
    7,142.07/10,713.11 = 3,443.61/x
  3. Step 3: Cross multiply
    7,142.07x = 10,713.11 × 3,443.61
  4. Step 4: Simplify right side
    7,142.07x = 36,891,815.05
  5. Step 5: Solve for x
    x = 36,891,815.05/7,142.07
  6. Step 6: Final answer
    x = 5,165.42

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Double scale
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Similar ratio
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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.