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Finding the Fourth Proportional to 10,648.16, 14,691.38 and 6,873.56

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Solution

The fourth proportional to 10,648.16, 14,691.38 and 6,873.56 is: 9,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.16 : 14,691.38 = 6,873.56 : x
  2. Step 2: Convert to fraction form
    10,648.16/14,691.38 = 6,873.56/x
  3. Step 3: Cross multiply
    10,648.16x = 14,691.38 × 6,873.56
  4. Step 4: Simplify right side
    10,648.16x = 100,982,029.18
  5. Step 5: Solve for x
    x = 100,982,029.18/10,648.16
  6. Step 6: Final answer
    x = 9,483.52

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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.