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Finding the Fourth Proportional to 4,966.13, 7,446.79 and 2,886.73

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Solution

The fourth proportional to 4,966.13, 7,446.79 and 2,886.73 is: 4,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.13 : 7,446.79 = 2,886.73 : x
  2. Step 2: Convert to fraction form
    4,966.13/7,446.79 = 2,886.73/x
  3. Step 3: Cross multiply
    4,966.13x = 7,446.79 × 2,886.73
  4. Step 4: Simplify right side
    4,966.13x = 21,496,872.10
  5. Step 5: Solve for x
    x = 21,496,872.10/4,966.13
  6. Step 6: Final answer
    x = 4,328.70

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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.