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Finding the Fourth Proportional to 6,182.61, 9,265.82 and 5,388

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Solution

The fourth proportional to 6,182.61, 9,265.82 and 5,388 is: 8,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.61 : 9,265.82 = 5,388 : x
  2. Step 2: Convert to fraction form
    6,182.61/9,265.82 = 5,388/x
  3. Step 3: Cross multiply
    6,182.61x = 9,265.82 × 5,388
  4. Step 4: Simplify right side
    6,182.61x = 49,924,211.22
  5. Step 5: Solve for x
    x = 49,924,211.22/6,182.61
  6. Step 6: Final answer
    x = 8,074.94

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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.