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Finding the Fourth Proportional to 15,883.50, 23,825.25 and 6,649.50

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Solution

The fourth proportional to 15,883.50, 23,825.25 and 6,649.50 is: 9,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.50 : 23,825.25 = 6,649.50 : x
  2. Step 2: Convert to fraction form
    15,883.50/23,825.25 = 6,649.50/x
  3. Step 3: Cross multiply
    15,883.50x = 23,825.25 × 6,649.50
  4. Step 4: Simplify right side
    15,883.50x = 158,425,999.88
  5. Step 5: Solve for x
    x = 158,425,999.88/15,883.50
  6. Step 6: Final answer
    x = 9,974.25

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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.