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Finding the Fourth Proportional to 4,484.97, 6,728.48 and 2,258.24

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Solution

The fourth proportional to 4,484.97, 6,728.48 and 2,258.24 is: 3,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484.97 : 6,728.48 = 2,258.24 : x
  2. Step 2: Convert to fraction form
    4,484.97/6,728.48 = 2,258.24/x
  3. Step 3: Cross multiply
    4,484.97x = 6,728.48 × 2,258.24
  4. Step 4: Simplify right side
    4,484.97x = 15,194,528.21
  5. Step 5: Solve for x
    x = 15,194,528.21/4,484.97
  6. Step 6: Final answer
    x = 3,387.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.