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Finding the Fourth Proportional to 14,480.76, 19,984.14 and 8,193

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Solution

The fourth proportional to 14,480.76, 19,984.14 and 8,193 is: 11,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.76 : 19,984.14 = 8,193 : x
  2. Step 2: Convert to fraction form
    14,480.76/19,984.14 = 8,193/x
  3. Step 3: Cross multiply
    14,480.76x = 19,984.14 × 8,193
  4. Step 4: Simplify right side
    14,480.76x = 163,730,059.02
  5. Step 5: Solve for x
    x = 163,730,059.02/14,480.76
  6. Step 6: Final answer
    x = 11,306.73

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Double scale
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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.