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Finding the Fourth Proportional to 5,613.46, 7,747.09 and 3,223.76

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Solution

The fourth proportional to 5,613.46, 7,747.09 and 3,223.76 is: 4,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.46 : 7,747.09 = 3,223.76 : x
  2. Step 2: Convert to fraction form
    5,613.46/7,747.09 = 3,223.76/x
  3. Step 3: Cross multiply
    5,613.46x = 7,747.09 × 3,223.76
  4. Step 4: Simplify right side
    5,613.46x = 24,974,758.86
  5. Step 5: Solve for x
    x = 24,974,758.86/5,613.46
  6. Step 6: Final answer
    x = 4,449.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.