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Finding the Fourth Proportional to 6,221.25, 9,332.28 and 2,758.50

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Solution

The fourth proportional to 6,221.25, 9,332.28 and 2,758.50 is: 4,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.25 : 9,332.28 = 2,758.50 : x
  2. Step 2: Convert to fraction form
    6,221.25/9,332.28 = 2,758.50/x
  3. Step 3: Cross multiply
    6,221.25x = 9,332.28 × 2,758.50
  4. Step 4: Simplify right side
    6,221.25x = 25,743,094.38
  5. Step 5: Solve for x
    x = 25,743,094.38/6,221.25
  6. Step 6: Final answer
    x = 4,137.93

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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.