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Finding the Fourth Proportional to 22,575.66, 33,865.72 and 7,782.63

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Solution

The fourth proportional to 22,575.66, 33,865.72 and 7,782.63 is: 11,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575.66 : 33,865.72 = 7,782.63 : x
  2. Step 2: Convert to fraction form
    22,575.66/33,865.72 = 7,782.63/x
  3. Step 3: Cross multiply
    22,575.66x = 33,865.72 × 7,782.63
  4. Step 4: Simplify right side
    22,575.66x = 263,564,348.99
  5. Step 5: Solve for x
    x = 263,564,348.99/22,575.66
  6. Step 6: Final answer
    x = 11,674.71

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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.