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Finding the Fourth Proportional to 6,157.74, 9,242.10 and 2,872.68

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Solution

The fourth proportional to 6,157.74, 9,242.10 and 2,872.68 is: 4,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.74 : 9,242.10 = 2,872.68 : x
  2. Step 2: Convert to fraction form
    6,157.74/9,242.10 = 2,872.68/x
  3. Step 3: Cross multiply
    6,157.74x = 9,242.10 × 2,872.68
  4. Step 4: Simplify right side
    6,157.74x = 26,549,595.83
  5. Step 5: Solve for x
    x = 26,549,595.83/6,157.74
  6. Step 6: Final answer
    x = 4,311.58

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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.