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Finding the Fourth Proportional to 4,842.16, 6,682.26 and 2,746.24

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Solution

The fourth proportional to 4,842.16, 6,682.26 and 2,746.24 is: 3,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.16 : 6,682.26 = 2,746.24 : x
  2. Step 2: Convert to fraction form
    4,842.16/6,682.26 = 2,746.24/x
  3. Step 3: Cross multiply
    4,842.16x = 6,682.26 × 2,746.24
  4. Step 4: Simplify right side
    4,842.16x = 18,351,089.70
  5. Step 5: Solve for x
    x = 18,351,089.70/4,842.16
  6. Step 6: Final answer
    x = 3,789.86

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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.