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Finding the Fourth Proportional to 14,344.41, 19,793.56 and 7,970.97

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Solution

The fourth proportional to 14,344.41, 19,793.56 and 7,970.97 is: 10,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344.41 : 19,793.56 = 7,970.97 : x
  2. Step 2: Convert to fraction form
    14,344.41/19,793.56 = 7,970.97/x
  3. Step 3: Cross multiply
    14,344.41x = 19,793.56 × 7,970.97
  4. Step 4: Simplify right side
    14,344.41x = 157,773,872.95
  5. Step 5: Solve for x
    x = 157,773,872.95/14,344.41
  6. Step 6: Final answer
    x = 10,998.98

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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.