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Finding the Fourth Proportional to 6,480.50, 9,728.92 and 5,512.76

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Solution

The fourth proportional to 6,480.50, 9,728.92 and 5,512.76 is: 8,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.50 : 9,728.92 = 5,512.76 : x
  2. Step 2: Convert to fraction form
    6,480.50/9,728.92 = 5,512.76/x
  3. Step 3: Cross multiply
    6,480.50x = 9,728.92 × 5,512.76
  4. Step 4: Simplify right side
    6,480.50x = 53,633,152.37
  5. Step 5: Solve for x
    x = 53,633,152.37/6,480.50
  6. Step 6: Final answer
    x = 8,276.08

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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.