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Finding the Fourth Proportional to 16,081, 22,195.62 and 9,460.84

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Solution

The fourth proportional to 16,081, 22,195.62 and 9,460.84 is: 13,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081 : 22,195.62 = 9,460.84 : x
  2. Step 2: Convert to fraction form
    16,081/22,195.62 = 9,460.84/x
  3. Step 3: Cross multiply
    16,081x = 22,195.62 × 9,460.84
  4. Step 4: Simplify right side
    16,081x = 209,989,209.52
  5. Step 5: Solve for x
    x = 209,989,209.52/16,081
  6. Step 6: Final answer
    x = 13,058.22

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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.