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Finding the Fourth Proportional to 22,706.19, 34,064.75 and 7,123.82

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Solution

The fourth proportional to 22,706.19, 34,064.75 and 7,123.82 is: 10,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.19 : 34,064.75 = 7,123.82 : x
  2. Step 2: Convert to fraction form
    22,706.19/34,064.75 = 7,123.82/x
  3. Step 3: Cross multiply
    22,706.19x = 34,064.75 × 7,123.82
  4. Step 4: Simplify right side
    22,706.19x = 242,671,147.35
  5. Step 5: Solve for x
    x = 242,671,147.35/22,706.19
  6. Step 6: Final answer
    x = 10,687.44

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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.