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Finding the Fourth Proportional to 10,843.84, 16,266.84 and 5,002.12

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Solution

The fourth proportional to 10,843.84, 16,266.84 and 5,002.12 is: 7,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.84 : 16,266.84 = 5,002.12 : x
  2. Step 2: Convert to fraction form
    10,843.84/16,266.84 = 5,002.12/x
  3. Step 3: Cross multiply
    10,843.84x = 16,266.84 × 5,002.12
  4. Step 4: Simplify right side
    10,843.84x = 81,368,685.70
  5. Step 5: Solve for x
    x = 81,368,685.70/10,843.84
  6. Step 6: Final answer
    x = 7,503.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.