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Finding the Fourth Proportional to 8,098.10, 12,147.85 and 2,254.71

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Solution

The fourth proportional to 8,098.10, 12,147.85 and 2,254.71 is: 3,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.10 : 12,147.85 = 2,254.71 : x
  2. Step 2: Convert to fraction form
    8,098.10/12,147.85 = 2,254.71/x
  3. Step 3: Cross multiply
    8,098.10x = 12,147.85 × 2,254.71
  4. Step 4: Simplify right side
    8,098.10x = 27,389,886.74
  5. Step 5: Solve for x
    x = 27,389,886.74/8,098.10
  6. Step 6: Final answer
    x = 3,382.26

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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.