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Finding the Fourth Proportional to 7,201.89, 9,938.58 and 4,058.13

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Solution

The fourth proportional to 7,201.89, 9,938.58 and 4,058.13 is: 5,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.89 : 9,938.58 = 4,058.13 : x
  2. Step 2: Convert to fraction form
    7,201.89/9,938.58 = 4,058.13/x
  3. Step 3: Cross multiply
    7,201.89x = 9,938.58 × 4,058.13
  4. Step 4: Simplify right side
    7,201.89x = 40,332,049.66
  5. Step 5: Solve for x
    x = 40,332,049.66/7,201.89
  6. Step 6: Final answer
    x = 5,600.20

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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.