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Finding the Fourth Proportional to 7,591.68, 11,393.88 and 3,897.46

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Solution

The fourth proportional to 7,591.68, 11,393.88 and 3,897.46 is: 5,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.68 : 11,393.88 = 3,897.46 : x
  2. Step 2: Convert to fraction form
    7,591.68/11,393.88 = 3,897.46/x
  3. Step 3: Cross multiply
    7,591.68x = 11,393.88 × 3,897.46
  4. Step 4: Simplify right side
    7,591.68x = 44,407,191.54
  5. Step 5: Solve for x
    x = 44,407,191.54/7,591.68
  6. Step 6: Final answer
    x = 5,849.46

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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.