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Finding the Fourth Proportional to 11,549.82, 15,938.82 and 6,514.14

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Solution

The fourth proportional to 11,549.82, 15,938.82 and 6,514.14 is: 8,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.82 : 15,938.82 = 6,514.14 : x
  2. Step 2: Convert to fraction form
    11,549.82/15,938.82 = 6,514.14/x
  3. Step 3: Cross multiply
    11,549.82x = 15,938.82 × 6,514.14
  4. Step 4: Simplify right side
    11,549.82x = 103,827,704.91
  5. Step 5: Solve for x
    x = 103,827,704.91/11,549.82
  6. Step 6: Final answer
    x = 8,989.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.