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Finding the Fourth Proportional to 10,167.16, 14,029.50 and 5,691.16

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Solution

The fourth proportional to 10,167.16, 14,029.50 and 5,691.16 is: 7,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.16 : 14,029.50 = 5,691.16 : x
  2. Step 2: Convert to fraction form
    10,167.16/14,029.50 = 5,691.16/x
  3. Step 3: Cross multiply
    10,167.16x = 14,029.50 × 5,691.16
  4. Step 4: Simplify right side
    10,167.16x = 79,844,129.22
  5. Step 5: Solve for x
    x = 79,844,129.22/10,167.16
  6. Step 6: Final answer
    x = 7,853.14

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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.