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Finding the Fourth Proportional to 4,882.92, 6,738.36 and 2,787

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Solution

The fourth proportional to 4,882.92, 6,738.36 and 2,787 is: 3,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.92 : 6,738.36 = 2,787 : x
  2. Step 2: Convert to fraction form
    4,882.92/6,738.36 = 2,787/x
  3. Step 3: Cross multiply
    4,882.92x = 6,738.36 × 2,787
  4. Step 4: Simplify right side
    4,882.92x = 18,779,809.32
  5. Step 5: Solve for x
    x = 18,779,809.32/4,882.92
  6. Step 6: Final answer
    x = 3,846.02

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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.