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Finding the Fourth Proportional to 15,523.22, 21,421.94 and 8,449.76

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Solution

The fourth proportional to 15,523.22, 21,421.94 and 8,449.76 is: 11,660.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,523.22 : 21,421.94 = 8,449.76 : x
  2. Step 2: Convert to fraction form
    15,523.22/21,421.94 = 8,449.76/x
  3. Step 3: Cross multiply
    15,523.22x = 21,421.94 × 8,449.76
  4. Step 4: Simplify right side
    15,523.22x = 181,010,102.38
  5. Step 5: Solve for x
    x = 181,010,102.38/15,523.22
  6. Step 6: Final answer
    x = 11,660.61

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Half 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.