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Finding the Fourth Proportional to 16,084, 22,199.76 and 9,463.84

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Solution

The fourth proportional to 16,084, 22,199.76 and 9,463.84 is: 13,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084 : 22,199.76 = 9,463.84 : x
  2. Step 2: Convert to fraction form
    16,084/22,199.76 = 9,463.84/x
  3. Step 3: Cross multiply
    16,084x = 22,199.76 × 9,463.84
  4. Step 4: Simplify right side
    16,084x = 210,094,976.68
  5. Step 5: Solve for x
    x = 210,094,976.68/16,084
  6. Step 6: Final answer
    x = 13,062.36

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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.