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Finding the Fourth Proportional to 25,804.71, 38,705.49 and 9,162.54

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Solution

The fourth proportional to 25,804.71, 38,705.49 and 9,162.54 is: 13,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,804.71 : 38,705.49 = 9,162.54 : x
  2. Step 2: Convert to fraction form
    25,804.71/38,705.49 = 9,162.54/x
  3. Step 3: Cross multiply
    25,804.71x = 38,705.49 × 9,162.54
  4. Step 4: Simplify right side
    25,804.71x = 354,640,600.34
  5. Step 5: Solve for x
    x = 354,640,600.34/25,804.71
  6. Step 6: Final answer
    x = 13,743.25

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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.