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Finding the Fourth Proportional to 23,842.96, 35,764.71 and 7,203.13

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Solution

The fourth proportional to 23,842.96, 35,764.71 and 7,203.13 is: 10,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.96 : 35,764.71 = 7,203.13 : x
  2. Step 2: Convert to fraction form
    23,842.96/35,764.71 = 7,203.13/x
  3. Step 3: Cross multiply
    23,842.96x = 35,764.71 × 7,203.13
  4. Step 4: Simplify right side
    23,842.96x = 257,617,855.54
  5. Step 5: Solve for x
    x = 257,617,855.54/23,842.96
  6. Step 6: Final answer
    x = 10,804.78

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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.