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Finding the Fourth Proportional to 22,367.86, 33,530.92 and 7,566.48

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Solution

The fourth proportional to 22,367.86, 33,530.92 and 7,566.48 is: 11,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,367.86 : 33,530.92 = 7,566.48 : x
  2. Step 2: Convert to fraction form
    22,367.86/33,530.92 = 7,566.48/x
  3. Step 3: Cross multiply
    22,367.86x = 33,530.92 × 7,566.48
  4. Step 4: Simplify right side
    22,367.86x = 253,711,016.65
  5. Step 5: Solve for x
    x = 253,711,016.65/22,367.86
  6. Step 6: Final answer
    x = 11,342.66

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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.