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Finding the Fourth Proportional to 25,552.71, 38,326.05 and 6,834.20

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Solution

The fourth proportional to 25,552.71, 38,326.05 and 6,834.20 is: 10,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,552.71 : 38,326.05 = 6,834.20 : x
  2. Step 2: Convert to fraction form
    25,552.71/38,326.05 = 6,834.20/x
  3. Step 3: Cross multiply
    25,552.71x = 38,326.05 × 6,834.20
  4. Step 4: Simplify right side
    25,552.71x = 261,927,778.01
  5. Step 5: Solve for x
    x = 261,927,778.01/25,552.71
  6. Step 6: Final answer
    x = 10,250.49

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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.