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Finding the Fourth Proportional to 9,490.97, 14,217.31 and 7,946.39

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Solution

The fourth proportional to 9,490.97, 14,217.31 and 7,946.39 is: 11,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.97 : 14,217.31 = 7,946.39 : x
  2. Step 2: Convert to fraction form
    9,490.97/14,217.31 = 7,946.39/x
  3. Step 3: Cross multiply
    9,490.97x = 14,217.31 × 7,946.39
  4. Step 4: Simplify right side
    9,490.97x = 112,976,305.69
  5. Step 5: Solve for x
    x = 112,976,305.69/9,490.97
  6. Step 6: Final answer
    x = 11,903.56

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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.