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Finding the Fourth Proportional to 25,633.88, 38,424.42 and 9,834.69

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Solution

The fourth proportional to 25,633.88, 38,424.42 and 9,834.69 is: 14,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,633.88 : 38,424.42 = 9,834.69 : x
  2. Step 2: Convert to fraction form
    25,633.88/38,424.42 = 9,834.69/x
  3. Step 3: Cross multiply
    25,633.88x = 38,424.42 × 9,834.69
  4. Step 4: Simplify right side
    25,633.88x = 377,892,403.22
  5. Step 5: Solve for x
    x = 377,892,403.22/25,633.88
  6. Step 6: Final answer
    x = 14,741.91

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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.