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Finding the Fourth Proportional to 11,191.97, 16,854.58 and 9,748.55

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Solution

The fourth proportional to 11,191.97, 16,854.58 and 9,748.55 is: 14,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.97 : 16,854.58 = 9,748.55 : x
  2. Step 2: Convert to fraction form
    11,191.97/16,854.58 = 9,748.55/x
  3. Step 3: Cross multiply
    11,191.97x = 16,854.58 × 9,748.55
  4. Step 4: Simplify right side
    11,191.97x = 164,307,715.86
  5. Step 5: Solve for x
    x = 164,307,715.86/11,191.97
  6. Step 6: Final answer
    x = 14,680.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.