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Finding the Fourth Proportional to 12,626.17, 17,420.99 and 7,589.38

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Solution

The fourth proportional to 12,626.17, 17,420.99 and 7,589.38 is: 10,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,626.17 : 17,420.99 = 7,589.38 : x
  2. Step 2: Convert to fraction form
    12,626.17/17,420.99 = 7,589.38/x
  3. Step 3: Cross multiply
    12,626.17x = 17,420.99 × 7,589.38
  4. Step 4: Simplify right side
    12,626.17x = 132,214,513.09
  5. Step 5: Solve for x
    x = 132,214,513.09/12,626.17
  6. Step 6: Final answer
    x = 10,471.47

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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.