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Finding the Fourth Proportional to 6,352.52, 8,763.70 and 3,833.20

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Solution

The fourth proportional to 6,352.52, 8,763.70 and 3,833.20 is: 5,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.52 : 8,763.70 = 3,833.20 : x
  2. Step 2: Convert to fraction form
    6,352.52/8,763.70 = 3,833.20/x
  3. Step 3: Cross multiply
    6,352.52x = 8,763.70 × 3,833.20
  4. Step 4: Simplify right side
    6,352.52x = 33,593,014.84
  5. Step 5: Solve for x
    x = 33,593,014.84/6,352.52
  6. Step 6: Final answer
    x = 5,288.14

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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.