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Finding the Fourth Proportional to 19,493.28, 29,236.86 and 6,343.74

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Solution

The fourth proportional to 19,493.28, 29,236.86 and 6,343.74 is: 9,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493.28 : 29,236.86 = 6,343.74 : x
  2. Step 2: Convert to fraction form
    19,493.28/29,236.86 = 6,343.74/x
  3. Step 3: Cross multiply
    19,493.28x = 29,236.86 × 6,343.74
  4. Step 4: Simplify right side
    19,493.28x = 185,471,038.26
  5. Step 5: Solve for x
    x = 185,471,038.26/19,493.28
  6. Step 6: Final answer
    x = 9,514.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.