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Finding the Fourth Proportional to 23,840.99, 35,761.74 and 7,201.16

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Solution

The fourth proportional to 23,840.99, 35,761.74 and 7,201.16 is: 10,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.99 : 35,761.74 = 7,201.16 : x
  2. Step 2: Convert to fraction form
    23,840.99/35,761.74 = 7,201.16/x
  3. Step 3: Cross multiply
    23,840.99x = 35,761.74 × 7,201.16
  4. Step 4: Simplify right side
    23,840.99x = 257,526,011.62
  5. Step 5: Solve for x
    x = 257,526,011.62/23,840.99
  6. Step 6: Final answer
    x = 10,801.82

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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.