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Finding the Fourth Proportional to 6,332, 9,499.64 and 3,701.75

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Solution

The fourth proportional to 6,332, 9,499.64 and 3,701.75 is: 5,553.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332 : 9,499.64 = 3,701.75 : x
  2. Step 2: Convert to fraction form
    6,332/9,499.64 = 3,701.75/x
  3. Step 3: Cross multiply
    6,332x = 9,499.64 × 3,701.75
  4. Step 4: Simplify right side
    6,332x = 35,165,292.37
  5. Step 5: Solve for x
    x = 35,165,292.37/6,332
  6. Step 6: Final answer
    x = 5,553.58

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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.