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Finding the Fourth Proportional to 16,558.84, 22,843.16 and 9,839.71

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Solution

The fourth proportional to 16,558.84, 22,843.16 and 9,839.71 is: 13,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,558.84 : 22,843.16 = 9,839.71 : x
  2. Step 2: Convert to fraction form
    16,558.84/22,843.16 = 9,839.71/x
  3. Step 3: Cross multiply
    16,558.84x = 22,843.16 × 9,839.71
  4. Step 4: Simplify right side
    16,558.84x = 224,770,000.48
  5. Step 5: Solve for x
    x = 224,770,000.48/16,558.84
  6. Step 6: Final answer
    x = 13,574.02

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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.