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Finding the Fourth Proportional to 6,414.68, 9,628.50 and 4,567.88

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Solution

The fourth proportional to 6,414.68, 9,628.50 and 4,567.88 is: 6,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.68 : 9,628.50 = 4,567.88 : x
  2. Step 2: Convert to fraction form
    6,414.68/9,628.50 = 4,567.88/x
  3. Step 3: Cross multiply
    6,414.68x = 9,628.50 × 4,567.88
  4. Step 4: Simplify right side
    6,414.68x = 43,981,832.58
  5. Step 5: Solve for x
    x = 43,981,832.58/6,414.68
  6. Step 6: Final answer
    x = 6,856.43

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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.