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Finding the Fourth Proportional to 7,751.66, 11,627.36 and 1,908.23

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Solution

The fourth proportional to 7,751.66, 11,627.36 and 1,908.23 is: 2,862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.66 : 11,627.36 = 1,908.23 : x
  2. Step 2: Convert to fraction form
    7,751.66/11,627.36 = 1,908.23/x
  3. Step 3: Cross multiply
    7,751.66x = 11,627.36 × 1,908.23
  4. Step 4: Simplify right side
    7,751.66x = 22,187,667.63
  5. Step 5: Solve for x
    x = 22,187,667.63/7,751.66
  6. Step 6: Final answer
    x = 2,862.31

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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.