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Finding the Fourth Proportional to 15,098.74, 20,836.79 and 8,384.48

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Solution

The fourth proportional to 15,098.74, 20,836.79 and 8,384.48 is: 11,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.74 : 20,836.79 = 8,384.48 : x
  2. Step 2: Convert to fraction form
    15,098.74/20,836.79 = 8,384.48/x
  3. Step 3: Cross multiply
    15,098.74x = 20,836.79 × 8,384.48
  4. Step 4: Simplify right side
    15,098.74x = 174,705,659.66
  5. Step 5: Solve for x
    x = 174,705,659.66/15,098.74
  6. Step 6: Final answer
    x = 11,570.88

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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.