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Finding the Fourth Proportional to 14,342.91, 19,793.47 and 7,970.09

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Solution

The fourth proportional to 14,342.91, 19,793.47 and 7,970.09 is: 10,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.91 : 19,793.47 = 7,970.09 : x
  2. Step 2: Convert to fraction form
    14,342.91/19,793.47 = 7,970.09/x
  3. Step 3: Cross multiply
    14,342.91x = 19,793.47 × 7,970.09
  4. Step 4: Simplify right side
    14,342.91x = 157,755,737.31
  5. Step 5: Solve for x
    x = 157,755,737.31/14,342.91
  6. Step 6: Final answer
    x = 10,998.87

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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.