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Finding the Fourth Proportional to 4,966.94, 6,855.22 and 2,872.28

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Solution

The fourth proportional to 4,966.94, 6,855.22 and 2,872.28 is: 3,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.94 : 6,855.22 = 2,872.28 : x
  2. Step 2: Convert to fraction form
    4,966.94/6,855.22 = 2,872.28/x
  3. Step 3: Cross multiply
    4,966.94x = 6,855.22 × 2,872.28
  4. Step 4: Simplify right side
    4,966.94x = 19,690,111.30
  5. Step 5: Solve for x
    x = 19,690,111.30/4,966.94
  6. Step 6: Final answer
    x = 3,964.23

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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.