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Finding the Fourth Proportional to 9,294.88, 13,926.12 and 7,744.84

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Solution

The fourth proportional to 9,294.88, 13,926.12 and 7,744.84 is: 11,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.88 : 13,926.12 = 7,744.84 : x
  2. Step 2: Convert to fraction form
    9,294.88/13,926.12 = 7,744.84/x
  3. Step 3: Cross multiply
    9,294.88x = 13,926.12 × 7,744.84
  4. Step 4: Simplify right side
    9,294.88x = 107,855,571.22
  5. Step 5: Solve for x
    x = 107,855,571.22/9,294.88
  6. Step 6: Final answer
    x = 11,603.76

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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.