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Finding the Fourth Proportional to 10,993.76, 16,488.36 and 3,878.96

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Solution

The fourth proportional to 10,993.76, 16,488.36 and 3,878.96 is: 5,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.76 : 16,488.36 = 3,878.96 : x
  2. Step 2: Convert to fraction form
    10,993.76/16,488.36 = 3,878.96/x
  3. Step 3: Cross multiply
    10,993.76x = 16,488.36 × 3,878.96
  4. Step 4: Simplify right side
    10,993.76x = 63,957,688.91
  5. Step 5: Solve for x
    x = 63,957,688.91/10,993.76
  6. Step 6: Final answer
    x = 5,817.64

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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.