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Finding the Fourth Proportional to 6,158.41, 9,239.89 and 4,417.31

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Solution

The fourth proportional to 6,158.41, 9,239.89 and 4,417.31 is: 6,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.41 : 9,239.89 = 4,417.31 : x
  2. Step 2: Convert to fraction form
    6,158.41/9,239.89 = 4,417.31/x
  3. Step 3: Cross multiply
    6,158.41x = 9,239.89 × 4,417.31
  4. Step 4: Simplify right side
    6,158.41x = 40,815,458.50
  5. Step 5: Solve for x
    x = 40,815,458.50/6,158.41
  6. Step 6: Final answer
    x = 6,627.60

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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.