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Finding the Fourth Proportional to 7,228.84, 10,843.68 and 2,845.12

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Solution

The fourth proportional to 7,228.84, 10,843.68 and 2,845.12 is: 4,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.84 : 10,843.68 = 2,845.12 : x
  2. Step 2: Convert to fraction form
    7,228.84/10,843.68 = 2,845.12/x
  3. Step 3: Cross multiply
    7,228.84x = 10,843.68 × 2,845.12
  4. Step 4: Simplify right side
    7,228.84x = 30,851,570.84
  5. Step 5: Solve for x
    x = 30,851,570.84/7,228.84
  6. Step 6: Final answer
    x = 4,267.85

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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.