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Finding the Fourth Proportional to 6,603.52, 9,910.14 and 3,140.80

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Solution

The fourth proportional to 6,603.52, 9,910.14 and 3,140.80 is: 4,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603.52 : 9,910.14 = 3,140.80 : x
  2. Step 2: Convert to fraction form
    6,603.52/9,910.14 = 3,140.80/x
  3. Step 3: Cross multiply
    6,603.52x = 9,910.14 × 3,140.80
  4. Step 4: Simplify right side
    6,603.52x = 31,125,767.71
  5. Step 5: Solve for x
    x = 31,125,767.71/6,603.52
  6. Step 6: Final answer
    x = 4,713.51

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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.