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Finding the Fourth Proportional to 8,314.56, 12,475.50 and 6,462.90

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Solution

The fourth proportional to 8,314.56, 12,475.50 and 6,462.90 is: 9,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.56 : 12,475.50 = 6,462.90 : x
  2. Step 2: Convert to fraction form
    8,314.56/12,475.50 = 6,462.90/x
  3. Step 3: Cross multiply
    8,314.56x = 12,475.50 × 6,462.90
  4. Step 4: Simplify right side
    8,314.56x = 80,627,908.95
  5. Step 5: Solve for x
    x = 80,627,908.95/8,314.56
  6. Step 6: Final answer
    x = 9,697.19

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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.