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Finding the Fourth Proportional to 4,965.22, 6,852.20 and 2,727.20

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Solution

The fourth proportional to 4,965.22, 6,852.20 and 2,727.20 is: 3,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.22 : 6,852.20 = 2,727.20 : x
  2. Step 2: Convert to fraction form
    4,965.22/6,852.20 = 2,727.20/x
  3. Step 3: Cross multiply
    4,965.22x = 6,852.20 × 2,727.20
  4. Step 4: Simplify right side
    4,965.22x = 18,687,319.84
  5. Step 5: Solve for x
    x = 18,687,319.84/4,965.22
  6. Step 6: Final answer
    x = 3,763.64

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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.