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Finding the Fourth Proportional to 4,863.84, 6,712.14 and 2,739.30

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Solution

The fourth proportional to 4,863.84, 6,712.14 and 2,739.30 is: 3,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.84 : 6,712.14 = 2,739.30 : x
  2. Step 2: Convert to fraction form
    4,863.84/6,712.14 = 2,739.30/x
  3. Step 3: Cross multiply
    4,863.84x = 6,712.14 × 2,739.30
  4. Step 4: Simplify right side
    4,863.84x = 18,386,565.10
  5. Step 5: Solve for x
    x = 18,386,565.10/4,863.84
  6. Step 6: Final answer
    x = 3,780.26

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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.