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Finding the Fourth Proportional to 7,833.30, 10,713.96 and 7,716.66

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Solution

The fourth proportional to 7,833.30, 10,713.96 and 7,716.66 is: 10,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.30 : 10,713.96 = 7,716.66 : x
  2. Step 2: Convert to fraction form
    7,833.30/10,713.96 = 7,716.66/x
  3. Step 3: Cross multiply
    7,833.30x = 10,713.96 × 7,716.66
  4. Step 4: Simplify right side
    7,833.30x = 82,675,986.57
  5. Step 5: Solve for x
    x = 82,675,986.57/7,833.30
  6. Step 6: Final answer
    x = 10,554.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.