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Finding the Fourth Proportional to 4,781.34, 7,164.68 and 2,006.50

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Solution

The fourth proportional to 4,781.34, 7,164.68 and 2,006.50 is: 3,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.34 : 7,164.68 = 2,006.50 : x
  2. Step 2: Convert to fraction form
    4,781.34/7,164.68 = 2,006.50/x
  3. Step 3: Cross multiply
    4,781.34x = 7,164.68 × 2,006.50
  4. Step 4: Simplify right side
    4,781.34x = 14,375,930.42
  5. Step 5: Solve for x
    x = 14,375,930.42/4,781.34
  6. Step 6: Final answer
    x = 3,006.67

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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.