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Finding the Fourth Proportional to 9,227.56, 12,734.08 and 5,035.82

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Solution

The fourth proportional to 9,227.56, 12,734.08 and 5,035.82 is: 6,949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.56 : 12,734.08 = 5,035.82 : x
  2. Step 2: Convert to fraction form
    9,227.56/12,734.08 = 5,035.82/x
  3. Step 3: Cross multiply
    9,227.56x = 12,734.08 × 5,035.82
  4. Step 4: Simplify right side
    9,227.56x = 64,126,534.75
  5. Step 5: Solve for x
    x = 64,126,534.75/9,227.56
  6. Step 6: Final answer
    x = 6,949.46

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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.