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Finding the Fourth Proportional to 8,098.68, 12,149.16 and 2,903.40

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Solution

The fourth proportional to 8,098.68, 12,149.16 and 2,903.40 is: 4,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.68 : 12,149.16 = 2,903.40 : x
  2. Step 2: Convert to fraction form
    8,098.68/12,149.16 = 2,903.40/x
  3. Step 3: Cross multiply
    8,098.68x = 12,149.16 × 2,903.40
  4. Step 4: Simplify right side
    8,098.68x = 35,273,871.14
  5. Step 5: Solve for x
    x = 35,273,871.14/8,098.68
  6. Step 6: Final answer
    x = 4,355.51

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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.