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Finding the Fourth Proportional to 4,221.50, 6,333.06 and 1,913

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Solution

The fourth proportional to 4,221.50, 6,333.06 and 1,913 is: 2,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.50 : 6,333.06 = 1,913 : x
  2. Step 2: Convert to fraction form
    4,221.50/6,333.06 = 1,913/x
  3. Step 3: Cross multiply
    4,221.50x = 6,333.06 × 1,913
  4. Step 4: Simplify right side
    4,221.50x = 12,115,143.78
  5. Step 5: Solve for x
    x = 12,115,143.78/4,221.50
  6. Step 6: Final answer
    x = 2,869.87

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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.