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Finding the Fourth Proportional to 4,842.24, 6,682.32 and 2,746.32

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Solution

The fourth proportional to 4,842.24, 6,682.32 and 2,746.32 is: 3,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.24 : 6,682.32 = 2,746.32 : x
  2. Step 2: Convert to fraction form
    4,842.24/6,682.32 = 2,746.32/x
  3. Step 3: Cross multiply
    4,842.24x = 6,682.32 × 2,746.32
  4. Step 4: Simplify right side
    4,842.24x = 18,351,789.06
  5. Step 5: Solve for x
    x = 18,351,789.06/4,842.24
  6. Step 6: Final answer
    x = 3,789.94

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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.