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Finding the Fourth Proportional to 19,649.12, 29,447.68 and 7,948.48

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Solution

The fourth proportional to 19,649.12, 29,447.68 and 7,948.48 is: 11,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.12 : 29,447.68 = 7,948.48 : x
  2. Step 2: Convert to fraction form
    19,649.12/29,447.68 = 7,948.48/x
  3. Step 3: Cross multiply
    19,649.12x = 29,447.68 × 7,948.48
  4. Step 4: Simplify right side
    19,649.12x = 234,064,295.53
  5. Step 5: Solve for x
    x = 234,064,295.53/19,649.12
  6. Step 6: Final answer
    x = 11,912.20

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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.