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Finding the Fourth Proportional to 12,486.68, 17,231.54 and 7,454.16

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Solution

The fourth proportional to 12,486.68, 17,231.54 and 7,454.16 is: 10,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.68 : 17,231.54 = 7,454.16 : x
  2. Step 2: Convert to fraction form
    12,486.68/17,231.54 = 7,454.16/x
  3. Step 3: Cross multiply
    12,486.68x = 17,231.54 × 7,454.16
  4. Step 4: Simplify right side
    12,486.68x = 128,446,656.21
  5. Step 5: Solve for x
    x = 128,446,656.21/12,486.68
  6. Step 6: Final answer
    x = 10,286.69

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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.