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Finding the Fourth Proportional to 6,519.52, 9,780.88 and 3,234.16

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Solution

The fourth proportional to 6,519.52, 9,780.88 and 3,234.16 is: 4,852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.52 : 9,780.88 = 3,234.16 : x
  2. Step 2: Convert to fraction form
    6,519.52/9,780.88 = 3,234.16/x
  3. Step 3: Cross multiply
    6,519.52x = 9,780.88 × 3,234.16
  4. Step 4: Simplify right side
    6,519.52x = 31,632,930.86
  5. Step 5: Solve for x
    x = 31,632,930.86/6,519.52
  6. Step 6: Final answer
    x = 4,852.03

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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.