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Finding the Fourth Proportional to 23,883.69, 35,822.70 and 7,243.05

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Solution

The fourth proportional to 23,883.69, 35,822.70 and 7,243.05 is: 10,863.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,883.69 : 35,822.70 = 7,243.05 : x
  2. Step 2: Convert to fraction form
    23,883.69/35,822.70 = 7,243.05/x
  3. Step 3: Cross multiply
    23,883.69x = 35,822.70 × 7,243.05
  4. Step 4: Simplify right side
    23,883.69x = 259,465,607.24
  5. Step 5: Solve for x
    x = 259,465,607.24/23,883.69
  6. Step 6: Final answer
    x = 10,863.72

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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.