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Finding the Fourth Proportional to 6,497.92, 9,751.20 and 3,035.44

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Solution

The fourth proportional to 6,497.92, 9,751.20 and 3,035.44 is: 4,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.92 : 9,751.20 = 3,035.44 : x
  2. Step 2: Convert to fraction form
    6,497.92/9,751.20 = 3,035.44/x
  3. Step 3: Cross multiply
    6,497.92x = 9,751.20 × 3,035.44
  4. Step 4: Simplify right side
    6,497.92x = 29,599,182.53
  5. Step 5: Solve for x
    x = 29,599,182.53/6,497.92
  6. Step 6: Final answer
    x = 4,555.18

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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.