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Finding the Fourth Proportional to 6,224, 9,332.16 and 2,937.76

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Solution

The fourth proportional to 6,224, 9,332.16 and 2,937.76 is: 4,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224 : 9,332.16 = 2,937.76 : x
  2. Step 2: Convert to fraction form
    6,224/9,332.16 = 2,937.76/x
  3. Step 3: Cross multiply
    6,224x = 9,332.16 × 2,937.76
  4. Step 4: Simplify right side
    6,224x = 27,415,646.36
  5. Step 5: Solve for x
    x = 27,415,646.36/6,224
  6. Step 6: Final answer
    x = 4,404.83

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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.