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Finding the Fourth Proportional to 9,047.96, 13,572.12 and 5,947.74

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Solution

The fourth proportional to 9,047.96, 13,572.12 and 5,947.74 is: 8,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.96 : 13,572.12 = 5,947.74 : x
  2. Step 2: Convert to fraction form
    9,047.96/13,572.12 = 5,947.74/x
  3. Step 3: Cross multiply
    9,047.96x = 13,572.12 × 5,947.74
  4. Step 4: Simplify right side
    9,047.96x = 80,723,441.01
  5. Step 5: Solve for x
    x = 80,723,441.01/9,047.96
  6. Step 6: Final answer
    x = 8,921.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.