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Finding the Fourth Proportional to 8,314.56, 12,464.64 and 3,929.76

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Solution

The fourth proportional to 8,314.56, 12,464.64 and 3,929.76 is: 5,891.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.56 : 12,464.64 = 3,929.76 : x
  2. Step 2: Convert to fraction form
    8,314.56/12,464.64 = 3,929.76/x
  3. Step 3: Cross multiply
    8,314.56x = 12,464.64 × 3,929.76
  4. Step 4: Simplify right side
    8,314.56x = 48,983,043.69
  5. Step 5: Solve for x
    x = 48,983,043.69/8,314.56
  6. Step 6: Final answer
    x = 5,891.24

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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.