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Finding the Fourth Proportional to 15,883.75, 23,825.63 and 6,649.75

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Solution

The fourth proportional to 15,883.75, 23,825.63 and 6,649.75 is: 9,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.75 : 23,825.63 = 6,649.75 : x
  2. Step 2: Convert to fraction form
    15,883.75/23,825.63 = 6,649.75/x
  3. Step 3: Cross multiply
    15,883.75x = 23,825.63 × 6,649.75
  4. Step 4: Simplify right side
    15,883.75x = 158,434,483.09
  5. Step 5: Solve for x
    x = 158,434,483.09/15,883.75
  6. Step 6: Final answer
    x = 9,974.63

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Similar ratio
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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.