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Finding the Fourth Proportional to 9,206.62, 12,706.05 and 5,621.38

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Solution

The fourth proportional to 9,206.62, 12,706.05 and 5,621.38 is: 7,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.62 : 12,706.05 = 5,621.38 : x
  2. Step 2: Convert to fraction form
    9,206.62/12,706.05 = 5,621.38/x
  3. Step 3: Cross multiply
    9,206.62x = 12,706.05 × 5,621.38
  4. Step 4: Simplify right side
    9,206.62x = 71,425,535.35
  5. Step 5: Solve for x
    x = 71,425,535.35/9,206.62
  6. Step 6: Final answer
    x = 7,758.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.