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Finding the Fourth Proportional to 6,481.92, 9,712.64 and 4,830.72

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Solution

The fourth proportional to 6,481.92, 9,712.64 and 4,830.72 is: 7,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.92 : 9,712.64 = 4,830.72 : x
  2. Step 2: Convert to fraction form
    6,481.92/9,712.64 = 4,830.72/x
  3. Step 3: Cross multiply
    6,481.92x = 9,712.64 × 4,830.72
  4. Step 4: Simplify right side
    6,481.92x = 46,919,044.30
  5. Step 5: Solve for x
    x = 46,919,044.30/6,481.92
  6. Step 6: Final answer
    x = 7,238.45

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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.