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Finding the Fourth Proportional to 12,583.14, 17,363.43 and 7,279.62

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Solution

The fourth proportional to 12,583.14, 17,363.43 and 7,279.62 is: 10,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.14 : 17,363.43 = 7,279.62 : x
  2. Step 2: Convert to fraction form
    12,583.14/17,363.43 = 7,279.62/x
  3. Step 3: Cross multiply
    12,583.14x = 17,363.43 × 7,279.62
  4. Step 4: Simplify right side
    12,583.14x = 126,399,172.30
  5. Step 5: Solve for x
    x = 126,399,172.30/12,583.14
  6. Step 6: Final answer
    x = 10,045.12

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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.