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Finding the Fourth Proportional to 7,591.69, 11,371.80 and 4,462.25

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Solution

The fourth proportional to 7,591.69, 11,371.80 and 4,462.25 is: 6,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.69 : 11,371.80 = 4,462.25 : x
  2. Step 2: Convert to fraction form
    7,591.69/11,371.80 = 4,462.25/x
  3. Step 3: Cross multiply
    7,591.69x = 11,371.80 × 4,462.25
  4. Step 4: Simplify right side
    7,591.69x = 50,743,814.55
  5. Step 5: Solve for x
    x = 50,743,814.55/7,591.69
  6. Step 6: Final answer
    x = 6,684.13

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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.