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Finding the Fourth Proportional to 6,658.13, 9,188.25 and 3,674

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Solution

The fourth proportional to 6,658.13, 9,188.25 and 3,674 is: 5,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.13 : 9,188.25 = 3,674 : x
  2. Step 2: Convert to fraction form
    6,658.13/9,188.25 = 3,674/x
  3. Step 3: Cross multiply
    6,658.13x = 9,188.25 × 3,674
  4. Step 4: Simplify right side
    6,658.13x = 33,757,630.50
  5. Step 5: Solve for x
    x = 33,757,630.50/6,658.13
  6. Step 6: Final answer
    x = 5,070.14

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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.