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Finding the Fourth Proportional to 9,142.62, 13,713.93 and 7,514.52

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Solution

The fourth proportional to 9,142.62, 13,713.93 and 7,514.52 is: 11,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.62 : 13,713.93 = 7,514.52 : x
  2. Step 2: Convert to fraction form
    9,142.62/13,713.93 = 7,514.52/x
  3. Step 3: Cross multiply
    9,142.62x = 13,713.93 × 7,514.52
  4. Step 4: Simplify right side
    9,142.62x = 103,053,601.26
  5. Step 5: Solve for x
    x = 103,053,601.26/9,142.62
  6. Step 6: Final answer
    x = 11,271.78

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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.