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Finding the Fourth Proportional to 6,497.28, 9,745.92 and 2,337.84

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Solution

The fourth proportional to 6,497.28, 9,745.92 and 2,337.84 is: 3,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.28 : 9,745.92 = 2,337.84 : x
  2. Step 2: Convert to fraction form
    6,497.28/9,745.92 = 2,337.84/x
  3. Step 3: Cross multiply
    6,497.28x = 9,745.92 × 2,337.84
  4. Step 4: Simplify right side
    6,497.28x = 22,784,401.61
  5. Step 5: Solve for x
    x = 22,784,401.61/6,497.28
  6. Step 6: Final answer
    x = 3,506.76

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1.5x scale

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.