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Finding the Fourth Proportional to 22,505.78, 33,758.66 and 7,714.82

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Solution

The fourth proportional to 22,505.78, 33,758.66 and 7,714.82 is: 11,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.78 : 33,758.66 = 7,714.82 : x
  2. Step 2: Convert to fraction form
    22,505.78/33,758.66 = 7,714.82/x
  3. Step 3: Cross multiply
    22,505.78x = 33,758.66 × 7,714.82
  4. Step 4: Simplify right side
    22,505.78x = 260,441,946.77
  5. Step 5: Solve for x
    x = 260,441,946.77/22,505.78
  6. Step 6: Final answer
    x = 11,572.22

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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.