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Finding the Fourth Proportional to 7,963.74, 11,927.07 and 7,686.90

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Solution

The fourth proportional to 7,963.74, 11,927.07 and 7,686.90 is: 11,512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.74 : 11,927.07 = 7,686.90 : x
  2. Step 2: Convert to fraction form
    7,963.74/11,927.07 = 7,686.90/x
  3. Step 3: Cross multiply
    7,963.74x = 11,927.07 × 7,686.90
  4. Step 4: Simplify right side
    7,963.74x = 91,682,194.38
  5. Step 5: Solve for x
    x = 91,682,194.38/7,963.74
  6. Step 6: Final answer
    x = 11,512.45

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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.