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Finding the Fourth Proportional to 20,537.71, 30,807.69 and 6,496.69

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Solution

The fourth proportional to 20,537.71, 30,807.69 and 6,496.69 is: 9,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.71 : 30,807.69 = 6,496.69 : x
  2. Step 2: Convert to fraction form
    20,537.71/30,807.69 = 6,496.69/x
  3. Step 3: Cross multiply
    20,537.71x = 30,807.69 × 6,496.69
  4. Step 4: Simplify right side
    20,537.71x = 200,148,071.53
  5. Step 5: Solve for x
    x = 200,148,071.53/20,537.71
  6. Step 6: Final answer
    x = 9,745.39

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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.