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Finding the Fourth Proportional to 23,842.92, 35,762.78 and 9,799.31

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Solution

The fourth proportional to 23,842.92, 35,762.78 and 9,799.31 is: 14,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.92 : 35,762.78 = 9,799.31 : x
  2. Step 2: Convert to fraction form
    23,842.92/35,762.78 = 9,799.31/x
  3. Step 3: Cross multiply
    23,842.92x = 35,762.78 × 9,799.31
  4. Step 4: Simplify right side
    23,842.92x = 350,450,567.68
  5. Step 5: Solve for x
    x = 350,450,567.68/23,842.92
  6. Step 6: Final answer
    x = 14,698.31

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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.