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Finding the Fourth Proportional to 8,098.16, 12,149.10 and 4,201.70

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Solution

The fourth proportional to 8,098.16, 12,149.10 and 4,201.70 is: 6,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.16 : 12,149.10 = 4,201.70 : x
  2. Step 2: Convert to fraction form
    8,098.16/12,149.10 = 4,201.70/x
  3. Step 3: Cross multiply
    8,098.16x = 12,149.10 × 4,201.70
  4. Step 4: Simplify right side
    8,098.16x = 51,046,873.47
  5. Step 5: Solve for x
    x = 51,046,873.47/8,098.16
  6. Step 6: Final answer
    x = 6,303.52

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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.