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Finding the Fourth Proportional to 10,843.80, 15,214.13 and 10,843.80

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Solution

The fourth proportional to 10,843.80, 15,214.13 and 10,843.80 is: 15,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.80 : 15,214.13 = 10,843.80 : x
  2. Step 2: Convert to fraction form
    10,843.80/15,214.13 = 10,843.80/x
  3. Step 3: Cross multiply
    10,843.80x = 15,214.13 × 10,843.80
  4. Step 4: Simplify right side
    10,843.80x = 164,978,928.68
  5. Step 5: Solve for x
    x = 164,978,928.68/10,843.80
  6. Step 6: Final answer
    x = 15,214.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.