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Finding the Fourth Proportional to 7,201.56, 9,938.16 and 3,889.56

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Solution

The fourth proportional to 7,201.56, 9,938.16 and 3,889.56 is: 5,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.56 : 9,938.16 = 3,889.56 : x
  2. Step 2: Convert to fraction form
    7,201.56/9,938.16 = 3,889.56/x
  3. Step 3: Cross multiply
    7,201.56x = 9,938.16 × 3,889.56
  4. Step 4: Simplify right side
    7,201.56x = 38,655,069.61
  5. Step 5: Solve for x
    x = 38,655,069.61/7,201.56
  6. Step 6: Final answer
    x = 5,367.60

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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.