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Finding the Fourth Proportional to 16,951.74, 23,394.78 and 9,398.82

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Solution

The fourth proportional to 16,951.74, 23,394.78 and 9,398.82 is: 12,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,951.74 : 23,394.78 = 9,398.82 : x
  2. Step 2: Convert to fraction form
    16,951.74/23,394.78 = 9,398.82/x
  3. Step 3: Cross multiply
    16,951.74x = 23,394.78 × 9,398.82
  4. Step 4: Simplify right side
    16,951.74x = 219,883,326.16
  5. Step 5: Solve for x
    x = 219,883,326.16/16,951.74
  6. Step 6: Final answer
    x = 12,971.14

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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.