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Finding the Fourth Proportional to 7,701.88, 11,497.11 and 6,767.71

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Solution

The fourth proportional to 7,701.88, 11,497.11 and 6,767.71 is: 10,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.88 : 11,497.11 = 6,767.71 : x
  2. Step 2: Convert to fraction form
    7,701.88/11,497.11 = 6,767.71/x
  3. Step 3: Cross multiply
    7,701.88x = 11,497.11 × 6,767.71
  4. Step 4: Simplify right side
    7,701.88x = 77,809,106.32
  5. Step 5: Solve for x
    x = 77,809,106.32/7,701.88
  6. Step 6: Final answer
    x = 10,102.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.