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Finding the Fourth Proportional to 25,852.92, 38,781.38 and 8,323.28

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Solution

The fourth proportional to 25,852.92, 38,781.38 and 8,323.28 is: 12,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.92 : 38,781.38 = 8,323.28 : x
  2. Step 2: Convert to fraction form
    25,852.92/38,781.38 = 8,323.28/x
  3. Step 3: Cross multiply
    25,852.92x = 38,781.38 × 8,323.28
  4. Step 4: Simplify right side
    25,852.92x = 322,788,284.53
  5. Step 5: Solve for x
    x = 322,788,284.53/25,852.92
  6. Step 6: Final answer
    x = 12,485.56

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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.