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Finding the Fourth Proportional to 6,358.87, 9,538.29 and 1,741.87

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Solution

The fourth proportional to 6,358.87, 9,538.29 and 1,741.87 is: 2,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.87 : 9,538.29 = 1,741.87 : x
  2. Step 2: Convert to fraction form
    6,358.87/9,538.29 = 1,741.87/x
  3. Step 3: Cross multiply
    6,358.87x = 9,538.29 × 1,741.87
  4. Step 4: Simplify right side
    6,358.87x = 16,614,461.20
  5. Step 5: Solve for x
    x = 16,614,461.20/6,358.87
  6. Step 6: Final answer
    x = 2,612.80

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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.