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Finding the Fourth Proportional to 6,691.78, 10,030.82 and 4,838.30

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Solution

The fourth proportional to 6,691.78, 10,030.82 and 4,838.30 is: 7,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.78 : 10,030.82 = 4,838.30 : x
  2. Step 2: Convert to fraction form
    6,691.78/10,030.82 = 4,838.30/x
  3. Step 3: Cross multiply
    6,691.78x = 10,030.82 × 4,838.30
  4. Step 4: Simplify right side
    6,691.78x = 48,532,078.35
  5. Step 5: Solve for x
    x = 48,532,078.35/6,691.78
  6. Step 6: Final answer
    x = 7,252.49

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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.