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Finding the Fourth Proportional to 6,103, 9,157.56 and 2,407.88

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Solution

The fourth proportional to 6,103, 9,157.56 and 2,407.88 is: 3,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103 : 9,157.56 = 2,407.88 : x
  2. Step 2: Convert to fraction form
    6,103/9,157.56 = 2,407.88/x
  3. Step 3: Cross multiply
    6,103x = 9,157.56 × 2,407.88
  4. Step 4: Simplify right side
    6,103x = 22,050,305.57
  5. Step 5: Solve for x
    x = 22,050,305.57/6,103
  6. Step 6: Final answer
    x = 3,613.03

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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.