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Finding the Fourth Proportional to 5,073.12, 7,609.78 and 1,742.14

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Solution

The fourth proportional to 5,073.12, 7,609.78 and 1,742.14 is: 2,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.12 : 7,609.78 = 1,742.14 : x
  2. Step 2: Convert to fraction form
    5,073.12/7,609.78 = 1,742.14/x
  3. Step 3: Cross multiply
    5,073.12x = 7,609.78 × 1,742.14
  4. Step 4: Simplify right side
    5,073.12x = 13,257,302.13
  5. Step 5: Solve for x
    x = 13,257,302.13/5,073.12
  6. Step 6: Final answer
    x = 2,613.24

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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.