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Finding the Fourth Proportional to 4,099.91, 6,149.88 and 1,502.85

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Solution

The fourth proportional to 4,099.91, 6,149.88 and 1,502.85 is: 2,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.91 : 6,149.88 = 1,502.85 : x
  2. Step 2: Convert to fraction form
    4,099.91/6,149.88 = 1,502.85/x
  3. Step 3: Cross multiply
    4,099.91x = 6,149.88 × 1,502.85
  4. Step 4: Simplify right side
    4,099.91x = 9,242,347.16
  5. Step 5: Solve for x
    x = 9,242,347.16/4,099.91
  6. Step 6: Final answer
    x = 2,254.28

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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.