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Finding the Fourth Proportional to 10,626.22, 14,662.90 and 6,151.38

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Solution

The fourth proportional to 10,626.22, 14,662.90 and 6,151.38 is: 8,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.22 : 14,662.90 = 6,151.38 : x
  2. Step 2: Convert to fraction form
    10,626.22/14,662.90 = 6,151.38/x
  3. Step 3: Cross multiply
    10,626.22x = 14,662.90 × 6,151.38
  4. Step 4: Simplify right side
    10,626.22x = 90,197,069.80
  5. Step 5: Solve for x
    x = 90,197,069.80/10,626.22
  6. Step 6: Final answer
    x = 8,488.16

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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.