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Finding the Fourth Proportional to 8,298.56, 12,447.84 and 6,834.64

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Solution

The fourth proportional to 8,298.56, 12,447.84 and 6,834.64 is: 10,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.56 : 12,447.84 = 6,834.64 : x
  2. Step 2: Convert to fraction form
    8,298.56/12,447.84 = 6,834.64/x
  3. Step 3: Cross multiply
    8,298.56x = 12,447.84 × 6,834.64
  4. Step 4: Simplify right side
    8,298.56x = 85,076,505.18
  5. Step 5: Solve for x
    x = 85,076,505.18/8,298.56
  6. Step 6: Final answer
    x = 10,251.96

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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.