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Finding the Fourth Proportional to 4,764.14, 7,132.03 and 4,263.56

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Solution

The fourth proportional to 4,764.14, 7,132.03 and 4,263.56 is: 6,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.14 : 7,132.03 = 4,263.56 : x
  2. Step 2: Convert to fraction form
    4,764.14/7,132.03 = 4,263.56/x
  3. Step 3: Cross multiply
    4,764.14x = 7,132.03 × 4,263.56
  4. Step 4: Simplify right side
    4,764.14x = 30,407,791.51
  5. Step 5: Solve for x
    x = 30,407,791.51/4,764.14
  6. Step 6: Final answer
    x = 6,382.65

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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.