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Finding the Fourth Proportional to 6,947.14, 9,591.52 and 6,199.82

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Solution

The fourth proportional to 6,947.14, 9,591.52 and 6,199.82 is: 8,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.14 : 9,591.52 = 6,199.82 : x
  2. Step 2: Convert to fraction form
    6,947.14/9,591.52 = 6,199.82/x
  3. Step 3: Cross multiply
    6,947.14x = 9,591.52 × 6,199.82
  4. Step 4: Simplify right side
    6,947.14x = 59,465,697.53
  5. Step 5: Solve for x
    x = 59,465,697.53/6,947.14
  6. Step 6: Final answer
    x = 8,559.74

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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.