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Finding the Fourth Proportional to 15,228.54, 22,827.25 and 8,640.81

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Solution

The fourth proportional to 15,228.54, 22,827.25 and 8,640.81 is: 12,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228.54 : 22,827.25 = 8,640.81 : x
  2. Step 2: Convert to fraction form
    15,228.54/22,827.25 = 8,640.81/x
  3. Step 3: Cross multiply
    15,228.54x = 22,827.25 × 8,640.81
  4. Step 4: Simplify right side
    15,228.54x = 197,245,930.07
  5. Step 5: Solve for x
    x = 197,245,930.07/15,228.54
  6. Step 6: Final answer
    x = 12,952.39

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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.