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Finding the Fourth Proportional to 12,195.76, 16,844.16 and 9,574.48

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Solution

The fourth proportional to 12,195.76, 16,844.16 and 9,574.48 is: 13,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.76 : 16,844.16 = 9,574.48 : x
  2. Step 2: Convert to fraction form
    12,195.76/16,844.16 = 9,574.48/x
  3. Step 3: Cross multiply
    12,195.76x = 16,844.16 × 9,574.48
  4. Step 4: Simplify right side
    12,195.76x = 161,274,073.04
  5. Step 5: Solve for x
    x = 161,274,073.04/12,195.76
  6. Step 6: Final answer
    x = 13,223.78

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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.