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Finding the Fourth Proportional to 23,833.76, 35,736.73 and 7,188.80

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Solution

The fourth proportional to 23,833.76, 35,736.73 and 7,188.80 is: 10,779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.76 : 35,736.73 = 7,188.80 : x
  2. Step 2: Convert to fraction form
    23,833.76/35,736.73 = 7,188.80/x
  3. Step 3: Cross multiply
    23,833.76x = 35,736.73 × 7,188.80
  4. Step 4: Simplify right side
    23,833.76x = 256,904,007.97
  5. Step 5: Solve for x
    x = 256,904,007.97/23,833.76
  6. Step 6: Final answer
    x = 10,779.00

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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.