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Finding the Fourth Proportional to 22,807.62, 34,214.94 and 9,663.48

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Solution

The fourth proportional to 22,807.62, 34,214.94 and 9,663.48 is: 14,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.62 : 34,214.94 = 9,663.48 : x
  2. Step 2: Convert to fraction form
    22,807.62/34,214.94 = 9,663.48/x
  3. Step 3: Cross multiply
    22,807.62x = 34,214.94 × 9,663.48
  4. Step 4: Simplify right side
    22,807.62x = 330,635,388.39
  5. Step 5: Solve for x
    x = 330,635,388.39/22,807.62
  6. Step 6: Final answer
    x = 14,496.71

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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.