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Finding the Fourth Proportional to 16,805.76, 25,211.44 and 6,275.44

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Solution

The fourth proportional to 16,805.76, 25,211.44 and 6,275.44 is: 9,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.76 : 25,211.44 = 6,275.44 : x
  2. Step 2: Convert to fraction form
    16,805.76/25,211.44 = 6,275.44/x
  3. Step 3: Cross multiply
    16,805.76x = 25,211.44 × 6,275.44
  4. Step 4: Simplify right side
    16,805.76x = 158,212,879.03
  5. Step 5: Solve for x
    x = 158,212,879.03/16,805.76
  6. Step 6: Final answer
    x = 9,414.21

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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.