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Finding the Fourth Proportional to 15,238.29, 22,846.46 and 6,914.13

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Solution

The fourth proportional to 15,238.29, 22,846.46 and 6,914.13 is: 10,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.29 : 22,846.46 = 6,914.13 : x
  2. Step 2: Convert to fraction form
    15,238.29/22,846.46 = 6,914.13/x
  3. Step 3: Cross multiply
    15,238.29x = 22,846.46 × 6,914.13
  4. Step 4: Simplify right side
    15,238.29x = 157,963,359.91
  5. Step 5: Solve for x
    x = 157,963,359.91/15,238.29
  6. Step 6: Final answer
    x = 10,366.21

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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.