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Finding the Fourth Proportional to 5,613.87, 7,748.16 and 3,516.78

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Solution

The fourth proportional to 5,613.87, 7,748.16 and 3,516.78 is: 4,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.87 : 7,748.16 = 3,516.78 : x
  2. Step 2: Convert to fraction form
    5,613.87/7,748.16 = 3,516.78/x
  3. Step 3: Cross multiply
    5,613.87x = 7,748.16 × 3,516.78
  4. Step 4: Simplify right side
    5,613.87x = 27,248,574.12
  5. Step 5: Solve for x
    x = 27,248,574.12/5,613.87
  6. Step 6: Final answer
    x = 4,853.79

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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.