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Finding the Fourth Proportional to 8,037, 12,055.66 and 2,193.76

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Solution

The fourth proportional to 8,037, 12,055.66 and 2,193.76 is: 3,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037 : 12,055.66 = 2,193.76 : x
  2. Step 2: Convert to fraction form
    8,037/12,055.66 = 2,193.76/x
  3. Step 3: Cross multiply
    8,037x = 12,055.66 × 2,193.76
  4. Step 4: Simplify right side
    8,037x = 26,447,234.27
  5. Step 5: Solve for x
    x = 26,447,234.27/8,037
  6. Step 6: Final answer
    x = 3,290.68

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Double scale
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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.