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Finding the Fourth Proportional to 3,970.68, 5,961.50 and 2,024.24

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Solution

The fourth proportional to 3,970.68, 5,961.50 and 2,024.24 is: 3,039.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.68 : 5,961.50 = 2,024.24 : x
  2. Step 2: Convert to fraction form
    3,970.68/5,961.50 = 2,024.24/x
  3. Step 3: Cross multiply
    3,970.68x = 5,961.50 × 2,024.24
  4. Step 4: Simplify right side
    3,970.68x = 12,067,506.76
  5. Step 5: Solve for x
    x = 12,067,506.76/3,970.68
  6. Step 6: Final answer
    x = 3,039.15

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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.