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Finding the Fourth Proportional to 6,480.48, 9,728 and 3,853.68

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Solution

The fourth proportional to 6,480.48, 9,728 and 3,853.68 is: 5,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.48 : 9,728 = 3,853.68 : x
  2. Step 2: Convert to fraction form
    6,480.48/9,728 = 3,853.68/x
  3. Step 3: Cross multiply
    6,480.48x = 9,728 × 3,853.68
  4. Step 4: Simplify right side
    6,480.48x = 37,488,599.04
  5. Step 5: Solve for x
    x = 37,488,599.04/6,480.48
  6. Step 6: Final answer
    x = 5,784.85

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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.