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Finding the Fourth Proportional to 12,746.17, 17,546.04 and 11,057.64

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Solution

The fourth proportional to 12,746.17, 17,546.04 and 11,057.64 is: 15,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.17 : 17,546.04 = 11,057.64 : x
  2. Step 2: Convert to fraction form
    12,746.17/17,546.04 = 11,057.64/x
  3. Step 3: Cross multiply
    12,746.17x = 17,546.04 × 11,057.64
  4. Step 4: Simplify right side
    12,746.17x = 194,017,793.75
  5. Step 5: Solve for x
    x = 194,017,793.75/12,746.17
  6. Step 6: Final answer
    x = 15,221.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.