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Finding the Fourth Proportional to 22,706.44, 34,065.12 and 7,124.06

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Solution

The fourth proportional to 22,706.44, 34,065.12 and 7,124.06 is: 10,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.44 : 34,065.12 = 7,124.06 : x
  2. Step 2: Convert to fraction form
    22,706.44/34,065.12 = 7,124.06/x
  3. Step 3: Cross multiply
    22,706.44x = 34,065.12 × 7,124.06
  4. Step 4: Simplify right side
    22,706.44x = 242,682,070.67
  5. Step 5: Solve for x
    x = 242,682,070.67/22,706.44
  6. Step 6: Final answer
    x = 10,687.81

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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.