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Finding the Fourth Proportional to 25,842.51, 38,763.92 and 9,203.19

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Solution

The fourth proportional to 25,842.51, 38,763.92 and 9,203.19 is: 13,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.51 : 38,763.92 = 9,203.19 : x
  2. Step 2: Convert to fraction form
    25,842.51/38,763.92 = 9,203.19/x
  3. Step 3: Cross multiply
    25,842.51x = 38,763.92 × 9,203.19
  4. Step 4: Simplify right side
    25,842.51x = 356,751,720.90
  5. Step 5: Solve for x
    x = 356,751,720.90/25,842.51
  6. Step 6: Final answer
    x = 13,804.84

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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.