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Finding the Fourth Proportional to 6,843.84, 10,216.26 and 6,013.46

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Solution

The fourth proportional to 6,843.84, 10,216.26 and 6,013.46 is: 8,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.84 : 10,216.26 = 6,013.46 : x
  2. Step 2: Convert to fraction form
    6,843.84/10,216.26 = 6,013.46/x
  3. Step 3: Cross multiply
    6,843.84x = 10,216.26 × 6,013.46
  4. Step 4: Simplify right side
    6,843.84x = 61,435,066.33
  5. Step 5: Solve for x
    x = 61,435,066.33/6,843.84
  6. Step 6: Final answer
    x = 8,976.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.