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Finding the Fourth Proportional to 7,900.47, 11,850.71 and 2,057.06

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Solution

The fourth proportional to 7,900.47, 11,850.71 and 2,057.06 is: 3,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.47 : 11,850.71 = 2,057.06 : x
  2. Step 2: Convert to fraction form
    7,900.47/11,850.71 = 2,057.06/x
  3. Step 3: Cross multiply
    7,900.47x = 11,850.71 × 2,057.06
  4. Step 4: Simplify right side
    7,900.47x = 24,377,640.85
  5. Step 5: Solve for x
    x = 24,377,640.85/7,900.47
  6. Step 6: Final answer
    x = 3,085.59

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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.