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Finding the Fourth Proportional to 15,204.44, 22,784.94 and 6,863.74

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Solution

The fourth proportional to 15,204.44, 22,784.94 and 6,863.74 is: 10,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.44 : 22,784.94 = 6,863.74 : x
  2. Step 2: Convert to fraction form
    15,204.44/22,784.94 = 6,863.74/x
  3. Step 3: Cross multiply
    15,204.44x = 22,784.94 × 6,863.74
  4. Step 4: Simplify right side
    15,204.44x = 156,389,904.08
  5. Step 5: Solve for x
    x = 156,389,904.08/15,204.44
  6. Step 6: Final answer
    x = 10,285.80

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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.