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Finding the Fourth Proportional to 23,852.58, 35,791.17 and 9,822.97

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Solution

The fourth proportional to 23,852.58, 35,791.17 and 9,822.97 is: 14,739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.58 : 35,791.17 = 9,822.97 : x
  2. Step 2: Convert to fraction form
    23,852.58/35,791.17 = 9,822.97/x
  3. Step 3: Cross multiply
    23,852.58x = 35,791.17 × 9,822.97
  4. Step 4: Simplify right side
    23,852.58x = 351,575,597.08
  5. Step 5: Solve for x
    x = 351,575,597.08/23,852.58
  6. Step 6: Final answer
    x = 14,739.52

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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.