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Finding the Fourth Proportional to 15,227.65, 22,838.68 and 6,905.66

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Solution

The fourth proportional to 15,227.65, 22,838.68 and 6,905.66 is: 10,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,227.65 : 22,838.68 = 6,905.66 : x
  2. Step 2: Convert to fraction form
    15,227.65/22,838.68 = 6,905.66/x
  3. Step 3: Cross multiply
    15,227.65x = 22,838.68 × 6,905.66
  4. Step 4: Simplify right side
    15,227.65x = 157,716,198.76
  5. Step 5: Solve for x
    x = 157,716,198.76/15,227.65
  6. Step 6: Final answer
    x = 10,357.23

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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.