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Finding the Fourth Proportional to 6,591.60, 9,094.23 and 3,938.31

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Solution

The fourth proportional to 6,591.60, 9,094.23 and 3,938.31 is: 5,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.60 : 9,094.23 = 3,938.31 : x
  2. Step 2: Convert to fraction form
    6,591.60/9,094.23 = 3,938.31/x
  3. Step 3: Cross multiply
    6,591.60x = 9,094.23 × 3,938.31
  4. Step 4: Simplify right side
    6,591.60x = 35,815,896.95
  5. Step 5: Solve for x
    x = 35,815,896.95/6,591.60
  6. Step 6: Final answer
    x = 5,433.57

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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.