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Finding the Fourth Proportional to 8,462.32, 12,716.46 and 4,516.32

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Solution

The fourth proportional to 8,462.32, 12,716.46 and 4,516.32 is: 6,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.32 : 12,716.46 = 4,516.32 : x
  2. Step 2: Convert to fraction form
    8,462.32/12,716.46 = 4,516.32/x
  3. Step 3: Cross multiply
    8,462.32x = 12,716.46 × 4,516.32
  4. Step 4: Simplify right side
    8,462.32x = 57,431,602.63
  5. Step 5: Solve for x
    x = 57,431,602.63/8,462.32
  6. Step 6: Final answer
    x = 6,786.74

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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.