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Finding the Fourth Proportional to 4,966.54, 6,853.84 and 2,728.46

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Solution

The fourth proportional to 4,966.54, 6,853.84 and 2,728.46 is: 3,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.54 : 6,853.84 = 2,728.46 : x
  2. Step 2: Convert to fraction form
    4,966.54/6,853.84 = 2,728.46/x
  3. Step 3: Cross multiply
    4,966.54x = 6,853.84 × 2,728.46
  4. Step 4: Simplify right side
    4,966.54x = 18,700,428.29
  5. Step 5: Solve for x
    x = 18,700,428.29/4,966.54
  6. Step 6: Final answer
    x = 3,765.28

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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.