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Finding the Fourth Proportional to 6,843.84, 10,262.88 and 2,626.40

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Solution

The fourth proportional to 6,843.84, 10,262.88 and 2,626.40 is: 3,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.84 : 10,262.88 = 2,626.40 : x
  2. Step 2: Convert to fraction form
    6,843.84/10,262.88 = 2,626.40/x
  3. Step 3: Cross multiply
    6,843.84x = 10,262.88 × 2,626.40
  4. Step 4: Simplify right side
    6,843.84x = 26,954,428.03
  5. Step 5: Solve for x
    x = 26,954,428.03/6,843.84
  6. Step 6: Final answer
    x = 3,938.49

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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.