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Finding the Fourth Proportional to 4,966.82, 6,854.12 and 2,728.59

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Solution

The fourth proportional to 4,966.82, 6,854.12 and 2,728.59 is: 3,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.82 : 6,854.12 = 2,728.59 : x
  2. Step 2: Convert to fraction form
    4,966.82/6,854.12 = 2,728.59/x
  3. Step 3: Cross multiply
    4,966.82x = 6,854.12 × 2,728.59
  4. Step 4: Simplify right side
    4,966.82x = 18,702,054.18
  5. Step 5: Solve for x
    x = 18,702,054.18/4,966.82
  6. Step 6: Final answer
    x = 3,765.40

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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.