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Finding the Fourth Proportional to 6,711.96, 9,259.92 and 4,947.76

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Solution

The fourth proportional to 6,711.96, 9,259.92 and 4,947.76 is: 6,826.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.96 : 9,259.92 = 4,947.76 : x
  2. Step 2: Convert to fraction form
    6,711.96/9,259.92 = 4,947.76/x
  3. Step 3: Cross multiply
    6,711.96x = 9,259.92 × 4,947.76
  4. Step 4: Simplify right side
    6,711.96x = 45,815,861.78
  5. Step 5: Solve for x
    x = 45,815,861.78/6,711.96
  6. Step 6: Final answer
    x = 6,826.00

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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.