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Finding the Fourth Proportional to 15,227.10, 22,840.38 and 7,827.21

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Solution

The fourth proportional to 15,227.10, 22,840.38 and 7,827.21 is: 11,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,227.10 : 22,840.38 = 7,827.21 : x
  2. Step 2: Convert to fraction form
    15,227.10/22,840.38 = 7,827.21/x
  3. Step 3: Cross multiply
    15,227.10x = 22,840.38 × 7,827.21
  4. Step 4: Simplify right side
    15,227.10x = 178,776,450.74
  5. Step 5: Solve for x
    x = 178,776,450.74/15,227.10
  6. Step 6: Final answer
    x = 11,740.68

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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.