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Finding the Fourth Proportional to 4,962.92, 6,849.42 and 2,867

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Solution

The fourth proportional to 4,962.92, 6,849.42 and 2,867 is: 3,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.92 : 6,849.42 = 2,867 : x
  2. Step 2: Convert to fraction form
    4,962.92/6,849.42 = 2,867/x
  3. Step 3: Cross multiply
    4,962.92x = 6,849.42 × 2,867
  4. Step 4: Simplify right side
    4,962.92x = 19,637,287.14
  5. Step 5: Solve for x
    x = 19,637,287.14/4,962.92
  6. Step 6: Final answer
    x = 3,956.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.