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Finding the Fourth Proportional to 16,074, 22,182.12 and 9,785.16

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Solution

The fourth proportional to 16,074, 22,182.12 and 9,785.16 is: 13,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074 : 22,182.12 = 9,785.16 : x
  2. Step 2: Convert to fraction form
    16,074/22,182.12 = 9,785.16/x
  3. Step 3: Cross multiply
    16,074x = 22,182.12 × 9,785.16
  4. Step 4: Simplify right side
    16,074x = 217,055,593.34
  5. Step 5: Solve for x
    x = 217,055,593.34/16,074
  6. Step 6: Final answer
    x = 13,503.52

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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.