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Finding the Fourth Proportional to 12,921.14, 17,833.62 and 8,448.74

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Solution

The fourth proportional to 12,921.14, 17,833.62 and 8,448.74 is: 11,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921.14 : 17,833.62 = 8,448.74 : x
  2. Step 2: Convert to fraction form
    12,921.14/17,833.62 = 8,448.74/x
  3. Step 3: Cross multiply
    12,921.14x = 17,833.62 × 8,448.74
  4. Step 4: Simplify right side
    12,921.14x = 150,671,618.64
  5. Step 5: Solve for x
    x = 150,671,618.64/12,921.14
  6. Step 6: Final answer
    x = 11,660.86

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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.