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Finding the Fourth Proportional to 8,180.70, 12,271.05 and 2,024.70

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Solution

The fourth proportional to 8,180.70, 12,271.05 and 2,024.70 is: 3,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.70 : 12,271.05 = 2,024.70 : x
  2. Step 2: Convert to fraction form
    8,180.70/12,271.05 = 2,024.70/x
  3. Step 3: Cross multiply
    8,180.70x = 12,271.05 × 2,024.70
  4. Step 4: Simplify right side
    8,180.70x = 24,845,194.94
  5. Step 5: Solve for x
    x = 24,845,194.94/8,180.70
  6. Step 6: Final answer
    x = 3,037.05

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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.