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Finding the Fourth Proportional to 10,876.14, 15,008.22 and 6,159.24

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Solution

The fourth proportional to 10,876.14, 15,008.22 and 6,159.24 is: 8,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.14 : 15,008.22 = 6,159.24 : x
  2. Step 2: Convert to fraction form
    10,876.14/15,008.22 = 6,159.24/x
  3. Step 3: Cross multiply
    10,876.14x = 15,008.22 × 6,159.24
  4. Step 4: Simplify right side
    10,876.14x = 92,439,228.95
  5. Step 5: Solve for x
    x = 92,439,228.95/10,876.14
  6. Step 6: Final answer
    x = 8,499.27

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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.