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Finding the Fourth Proportional to 9,454.68, 14,170.68 and 6,677.19

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Solution

The fourth proportional to 9,454.68, 14,170.68 and 6,677.19 is: 10,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.68 : 14,170.68 = 6,677.19 : x
  2. Step 2: Convert to fraction form
    9,454.68/14,170.68 = 6,677.19/x
  3. Step 3: Cross multiply
    9,454.68x = 14,170.68 × 6,677.19
  4. Step 4: Simplify right side
    9,454.68x = 94,620,322.79
  5. Step 5: Solve for x
    x = 94,620,322.79/9,454.68
  6. Step 6: Final answer
    x = 10,007.78

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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.