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Finding the Fourth Proportional to 6,502.68, 8,972.10 and 3,848.58

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Solution

The fourth proportional to 6,502.68, 8,972.10 and 3,848.58 is: 5,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.68 : 8,972.10 = 3,848.58 : x
  2. Step 2: Convert to fraction form
    6,502.68/8,972.10 = 3,848.58/x
  3. Step 3: Cross multiply
    6,502.68x = 8,972.10 × 3,848.58
  4. Step 4: Simplify right side
    6,502.68x = 34,529,844.62
  5. Step 5: Solve for x
    x = 34,529,844.62/6,502.68
  6. Step 6: Final answer
    x = 5,310.09

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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.