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Finding the Fourth Proportional to 4,964.28, 6,849.93 and 2,868

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Solution

The fourth proportional to 4,964.28, 6,849.93 and 2,868 is: 3,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.28 : 6,849.93 = 2,868 : x
  2. Step 2: Convert to fraction form
    4,964.28/6,849.93 = 2,868/x
  3. Step 3: Cross multiply
    4,964.28x = 6,849.93 × 2,868
  4. Step 4: Simplify right side
    4,964.28x = 19,645,599.24
  5. Step 5: Solve for x
    x = 19,645,599.24/4,964.28
  6. Step 6: Final answer
    x = 3,957.39

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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.