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Finding the Fourth Proportional to 23,921.52, 35,883.64 and 7,282.10

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Solution

The fourth proportional to 23,921.52, 35,883.64 and 7,282.10 is: 10,923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,921.52 : 35,883.64 = 7,282.10 : x
  2. Step 2: Convert to fraction form
    23,921.52/35,883.64 = 7,282.10/x
  3. Step 3: Cross multiply
    23,921.52x = 35,883.64 × 7,282.10
  4. Step 4: Simplify right side
    23,921.52x = 261,308,254.84
  5. Step 5: Solve for x
    x = 261,308,254.84/23,921.52
  6. Step 6: Final answer
    x = 10,923.56

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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.