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Finding the Fourth Proportional to 7,201.64, 9,938.10 and 4,057.88

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Solution

The fourth proportional to 7,201.64, 9,938.10 and 4,057.88 is: 5,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.64 : 9,938.10 = 4,057.88 : x
  2. Step 2: Convert to fraction form
    7,201.64/9,938.10 = 4,057.88/x
  3. Step 3: Cross multiply
    7,201.64x = 9,938.10 × 4,057.88
  4. Step 4: Simplify right side
    7,201.64x = 40,327,617.23
  5. Step 5: Solve for x
    x = 40,327,617.23/7,201.64
  6. Step 6: Final answer
    x = 5,599.78

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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.