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Finding the Fourth Proportional to 5,767.44, 7,964.91 and 4,969.14

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Solution

The fourth proportional to 5,767.44, 7,964.91 and 4,969.14 is: 6,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.44 : 7,964.91 = 4,969.14 : x
  2. Step 2: Convert to fraction form
    5,767.44/7,964.91 = 4,969.14/x
  3. Step 3: Cross multiply
    5,767.44x = 7,964.91 × 4,969.14
  4. Step 4: Simplify right side
    5,767.44x = 39,578,752.88
  5. Step 5: Solve for x
    x = 39,578,752.88/5,767.44
  6. Step 6: Final answer
    x = 6,862.45

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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.