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Finding the Fourth Proportional to 12,394.46, 17,101.77 and 7,357.97

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Solution

The fourth proportional to 12,394.46, 17,101.77 and 7,357.97 is: 10,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.46 : 17,101.77 = 7,357.97 : x
  2. Step 2: Convert to fraction form
    12,394.46/17,101.77 = 7,357.97/x
  3. Step 3: Cross multiply
    12,394.46x = 17,101.77 × 7,357.97
  4. Step 4: Simplify right side
    12,394.46x = 125,834,310.61
  5. Step 5: Solve for x
    x = 125,834,310.61/12,394.46
  6. Step 6: Final answer
    x = 10,152.46

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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.