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Finding the Fourth Proportional to 25,363.44, 38,048.80 and 7,834.80

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Solution

The fourth proportional to 25,363.44, 38,048.80 and 7,834.80 is: 11,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,363.44 : 38,048.80 = 7,834.80 : x
  2. Step 2: Convert to fraction form
    25,363.44/38,048.80 = 7,834.80/x
  3. Step 3: Cross multiply
    25,363.44x = 38,048.80 × 7,834.80
  4. Step 4: Simplify right side
    25,363.44x = 298,104,738.24
  5. Step 5: Solve for x
    x = 298,104,738.24/25,363.44
  6. Step 6: Final answer
    x = 11,753.32

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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.