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Finding the Fourth Proportional to 11,678.64, 17,493.12 and 9,447.90

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Solution

The fourth proportional to 11,678.64, 17,493.12 and 9,447.90 is: 14,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.64 : 17,493.12 = 9,447.90 : x
  2. Step 2: Convert to fraction form
    11,678.64/17,493.12 = 9,447.90/x
  3. Step 3: Cross multiply
    11,678.64x = 17,493.12 × 9,447.90
  4. Step 4: Simplify right side
    11,678.64x = 165,273,248.45
  5. Step 5: Solve for x
    x = 165,273,248.45/11,678.64
  6. Step 6: Final answer
    x = 14,151.75

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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.