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Finding the Fourth Proportional to 6,356.07, 8,768.25 and 3,964.14

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Solution

The fourth proportional to 6,356.07, 8,768.25 and 3,964.14 is: 5,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.07 : 8,768.25 = 3,964.14 : x
  2. Step 2: Convert to fraction form
    6,356.07/8,768.25 = 3,964.14/x
  3. Step 3: Cross multiply
    6,356.07x = 8,768.25 × 3,964.14
  4. Step 4: Simplify right side
    6,356.07x = 34,758,570.56
  5. Step 5: Solve for x
    x = 34,758,570.56/6,356.07
  6. Step 6: Final answer
    x = 5,468.56

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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.