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Finding the Fourth Proportional to 6,237.16, 9,358.98 and 2,542.12

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Solution

The fourth proportional to 6,237.16, 9,358.98 and 2,542.12 is: 3,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.16 : 9,358.98 = 2,542.12 : x
  2. Step 2: Convert to fraction form
    6,237.16/9,358.98 = 2,542.12/x
  3. Step 3: Cross multiply
    6,237.16x = 9,358.98 × 2,542.12
  4. Step 4: Simplify right side
    6,237.16x = 23,791,650.24
  5. Step 5: Solve for x
    x = 23,791,650.24/6,237.16
  6. Step 6: Final answer
    x = 3,814.50

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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.