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Finding the Fourth Proportional to 7,297.98, 10,926.09 and 6,838.62

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Solution

The fourth proportional to 7,297.98, 10,926.09 and 6,838.62 is: 10,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.98 : 10,926.09 = 6,838.62 : x
  2. Step 2: Convert to fraction form
    7,297.98/10,926.09 = 6,838.62/x
  3. Step 3: Cross multiply
    7,297.98x = 10,926.09 × 6,838.62
  4. Step 4: Simplify right side
    7,297.98x = 74,719,377.60
  5. Step 5: Solve for x
    x = 74,719,377.60/7,297.98
  6. Step 6: Final answer
    x = 10,238.36

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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.