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Finding the Fourth Proportional to 4,667.84, 7,000.80 and 2,201.60

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Solution

The fourth proportional to 4,667.84, 7,000.80 and 2,201.60 is: 3,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.84 : 7,000.80 = 2,201.60 : x
  2. Step 2: Convert to fraction form
    4,667.84/7,000.80 = 2,201.60/x
  3. Step 3: Cross multiply
    4,667.84x = 7,000.80 × 2,201.60
  4. Step 4: Simplify right side
    4,667.84x = 15,412,961.28
  5. Step 5: Solve for x
    x = 15,412,961.28/4,667.84
  6. Step 6: Final answer
    x = 3,301.95

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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.