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Finding the Fourth Proportional to 7,726.69, 11,592.06 and 3,343.12

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Solution

The fourth proportional to 7,726.69, 11,592.06 and 3,343.12 is: 5,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.69 : 11,592.06 = 3,343.12 : x
  2. Step 2: Convert to fraction form
    7,726.69/11,592.06 = 3,343.12/x
  3. Step 3: Cross multiply
    7,726.69x = 11,592.06 × 3,343.12
  4. Step 4: Simplify right side
    7,726.69x = 38,753,647.63
  5. Step 5: Solve for x
    x = 38,753,647.63/7,726.69
  6. Step 6: Final answer
    x = 5,015.56

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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.