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Finding the Fourth Proportional to 6,591.60, 9,864.26 and 5,406.98

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Solution

The fourth proportional to 6,591.60, 9,864.26 and 5,406.98 is: 8,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.60 : 9,864.26 = 5,406.98 : x
  2. Step 2: Convert to fraction form
    6,591.60/9,864.26 = 5,406.98/x
  3. Step 3: Cross multiply
    6,591.60x = 9,864.26 × 5,406.98
  4. Step 4: Simplify right side
    6,591.60x = 53,335,856.53
  5. Step 5: Solve for x
    x = 53,335,856.53/6,591.60
  6. Step 6: Final answer
    x = 8,091.49

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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.