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Finding the Fourth Proportional to 5,657.25, 8,494.56 and 5,407.68

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Solution

The fourth proportional to 5,657.25, 8,494.56 and 5,407.68 is: 8,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.25 : 8,494.56 = 5,407.68 : x
  2. Step 2: Convert to fraction form
    5,657.25/8,494.56 = 5,407.68/x
  3. Step 3: Cross multiply
    5,657.25x = 8,494.56 × 5,407.68
  4. Step 4: Simplify right side
    5,657.25x = 45,935,862.22
  5. Step 5: Solve for x
    x = 45,935,862.22/5,657.25
  6. Step 6: Final answer
    x = 8,119.82

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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.