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Finding the Fourth Proportional to 7,202.49, 9,938.37 and 4,177.48

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Solution

The fourth proportional to 7,202.49, 9,938.37 and 4,177.48 is: 5,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.49 : 9,938.37 = 4,177.48 : x
  2. Step 2: Convert to fraction form
    7,202.49/9,938.37 = 4,177.48/x
  3. Step 3: Cross multiply
    7,202.49x = 9,938.37 × 4,177.48
  4. Step 4: Simplify right side
    7,202.49x = 41,517,341.91
  5. Step 5: Solve for x
    x = 41,517,341.91/7,202.49
  6. Step 6: Final answer
    x = 5,764.30

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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.