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Finding the Fourth Proportional to 8,106.70, 12,160.05 and 2,560.48

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Solution

The fourth proportional to 8,106.70, 12,160.05 and 2,560.48 is: 3,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.70 : 12,160.05 = 2,560.48 : x
  2. Step 2: Convert to fraction form
    8,106.70/12,160.05 = 2,560.48/x
  3. Step 3: Cross multiply
    8,106.70x = 12,160.05 × 2,560.48
  4. Step 4: Simplify right side
    8,106.70x = 31,135,564.82
  5. Step 5: Solve for x
    x = 31,135,564.82/8,106.70
  6. Step 6: Final answer
    x = 3,840.72

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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.