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Finding the Fourth Proportional to 8,406.96, 12,593.16 and 6,754.56

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Solution

The fourth proportional to 8,406.96, 12,593.16 and 6,754.56 is: 10,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.96 : 12,593.16 = 6,754.56 : x
  2. Step 2: Convert to fraction form
    8,406.96/12,593.16 = 6,754.56/x
  3. Step 3: Cross multiply
    8,406.96x = 12,593.16 × 6,754.56
  4. Step 4: Simplify right side
    8,406.96x = 85,061,254.81
  5. Step 5: Solve for x
    x = 85,061,254.81/8,406.96
  6. Step 6: Final answer
    x = 10,117.96

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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.