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Finding the Fourth Proportional to 7,713.41, 11,584.25 and 7,062.78

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Solution

The fourth proportional to 7,713.41, 11,584.25 and 7,062.78 is: 10,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.41 : 11,584.25 = 7,062.78 : x
  2. Step 2: Convert to fraction form
    7,713.41/11,584.25 = 7,062.78/x
  3. Step 3: Cross multiply
    7,713.41x = 11,584.25 × 7,062.78
  4. Step 4: Simplify right side
    7,713.41x = 81,816,973.90
  5. Step 5: Solve for x
    x = 81,816,973.90/7,713.41
  6. Step 6: Final answer
    x = 10,607.12

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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.