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Finding the Fourth Proportional to 10,497.98, 15,745.96 and 3,477.71

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Solution

The fourth proportional to 10,497.98, 15,745.96 and 3,477.71 is: 5,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.98 : 15,745.96 = 3,477.71 : x
  2. Step 2: Convert to fraction form
    10,497.98/15,745.96 = 3,477.71/x
  3. Step 3: Cross multiply
    10,497.98x = 15,745.96 × 3,477.71
  4. Step 4: Simplify right side
    10,497.98x = 54,759,882.55
  5. Step 5: Solve for x
    x = 54,759,882.55/10,497.98
  6. Step 6: Final answer
    x = 5,216.23

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Similar ratio
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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.