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Finding the Fourth Proportional to 7,221.75, 9,966.03 and 4,077.87

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Solution

The fourth proportional to 7,221.75, 9,966.03 and 4,077.87 is: 5,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.75 : 9,966.03 = 4,077.87 : x
  2. Step 2: Convert to fraction form
    7,221.75/9,966.03 = 4,077.87/x
  3. Step 3: Cross multiply
    7,221.75x = 9,966.03 × 4,077.87
  4. Step 4: Simplify right side
    7,221.75x = 40,640,174.76
  5. Step 5: Solve for x
    x = 40,640,174.76/7,221.75
  6. Step 6: Final answer
    x = 5,627.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.