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Finding the Fourth Proportional to 6,498.38, 8,948.88 and 5,647.24

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Solution

The fourth proportional to 6,498.38, 8,948.88 and 5,647.24 is: 7,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.38 : 8,948.88 = 5,647.24 : x
  2. Step 2: Convert to fraction form
    6,498.38/8,948.88 = 5,647.24/x
  3. Step 3: Cross multiply
    6,498.38x = 8,948.88 × 5,647.24
  4. Step 4: Simplify right side
    6,498.38x = 50,536,484.28
  5. Step 5: Solve for x
    x = 50,536,484.28/6,498.38
  6. Step 6: Final answer
    x = 7,776.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.