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Finding the Fourth Proportional to 9,992.25, 15,005.38 and 9,574.29

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Solution

The fourth proportional to 9,992.25, 15,005.38 and 9,574.29 is: 14,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.25 : 15,005.38 = 9,574.29 : x
  2. Step 2: Convert to fraction form
    9,992.25/15,005.38 = 9,574.29/x
  3. Step 3: Cross multiply
    9,992.25x = 15,005.38 × 9,574.29
  4. Step 4: Simplify right side
    9,992.25x = 143,665,859.68
  5. Step 5: Solve for x
    x = 143,665,859.68/9,992.25
  6. Step 6: Final answer
    x = 14,377.73

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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.