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Finding the Fourth Proportional to 7,871.17, 10,874.15 and 5,878.29

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Solution

The fourth proportional to 7,871.17, 10,874.15 and 5,878.29 is: 8,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.17 : 10,874.15 = 5,878.29 : x
  2. Step 2: Convert to fraction form
    7,871.17/10,874.15 = 5,878.29/x
  3. Step 3: Cross multiply
    7,871.17x = 10,874.15 × 5,878.29
  4. Step 4: Simplify right side
    7,871.17x = 63,921,407.20
  5. Step 5: Solve for x
    x = 63,921,407.20/7,871.17
  6. Step 6: Final answer
    x = 8,120.95

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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.