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Finding the Fourth Proportional to 12,297.96, 18,351.03 and 10,972.61

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Solution

The fourth proportional to 12,297.96, 18,351.03 and 10,972.61 is: 16,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.96 : 18,351.03 = 10,972.61 : x
  2. Step 2: Convert to fraction form
    12,297.96/18,351.03 = 10,972.61/x
  3. Step 3: Cross multiply
    12,297.96x = 18,351.03 × 10,972.61
  4. Step 4: Simplify right side
    12,297.96x = 201,358,548.67
  5. Step 5: Solve for x
    x = 201,358,548.67/12,297.96
  6. Step 6: Final answer
    x = 16,373.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.