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Finding the Fourth Proportional to 27,143.69, 40,716.74 and 9,616.10

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Solution

The fourth proportional to 27,143.69, 40,716.74 and 9,616.10 is: 14,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,143.69 : 40,716.74 = 9,616.10 : x
  2. Step 2: Convert to fraction form
    27,143.69/40,716.74 = 9,616.10/x
  3. Step 3: Cross multiply
    27,143.69x = 40,716.74 × 9,616.10
  4. Step 4: Simplify right side
    27,143.69x = 391,536,063.97
  5. Step 5: Solve for x
    x = 391,536,063.97/27,143.69
  6. Step 6: Final answer
    x = 14,424.57

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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.