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Finding the Fourth Proportional to 5,578.68, 8,372.10 and 4,496.16

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Solution

The fourth proportional to 5,578.68, 8,372.10 and 4,496.16 is: 6,747.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.68 : 8,372.10 = 4,496.16 : x
  2. Step 2: Convert to fraction form
    5,578.68/8,372.10 = 4,496.16/x
  3. Step 3: Cross multiply
    5,578.68x = 8,372.10 × 4,496.16
  4. Step 4: Simplify right side
    5,578.68x = 37,642,301.14
  5. Step 5: Solve for x
    x = 37,642,301.14/5,578.68
  6. Step 6: Final answer
    x = 6,747.53

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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.