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Finding the Fourth Proportional to 15,222.18, 22,816.59 and 7,827.03

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Solution

The fourth proportional to 15,222.18, 22,816.59 and 7,827.03 is: 11,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,222.18 : 22,816.59 = 7,827.03 : x
  2. Step 2: Convert to fraction form
    15,222.18/22,816.59 = 7,827.03/x
  3. Step 3: Cross multiply
    15,222.18x = 22,816.59 × 7,827.03
  4. Step 4: Simplify right side
    15,222.18x = 178,586,105.08
  5. Step 5: Solve for x
    x = 178,586,105.08/15,222.18
  6. Step 6: Final answer
    x = 11,731.97

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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.