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Finding the Fourth Proportional to 8,129.78, 12,175.71 and 6,892.82

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Solution

The fourth proportional to 8,129.78, 12,175.71 and 6,892.82 is: 10,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.78 : 12,175.71 = 6,892.82 : x
  2. Step 2: Convert to fraction form
    8,129.78/12,175.71 = 6,892.82/x
  3. Step 3: Cross multiply
    8,129.78x = 12,175.71 × 6,892.82
  4. Step 4: Simplify right side
    8,129.78x = 83,924,977.40
  5. Step 5: Solve for x
    x = 83,924,977.40/8,129.78
  6. Step 6: Final answer
    x = 10,323.15

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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.