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Finding the Fourth Proportional to 10,983.94, 16,458.66 and 8,491.24

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Solution

The fourth proportional to 10,983.94, 16,458.66 and 8,491.24 is: 12,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.94 : 16,458.66 = 8,491.24 : x
  2. Step 2: Convert to fraction form
    10,983.94/16,458.66 = 8,491.24/x
  3. Step 3: Cross multiply
    10,983.94x = 16,458.66 × 8,491.24
  4. Step 4: Simplify right side
    10,983.94x = 139,754,499.49
  5. Step 5: Solve for x
    x = 139,754,499.49/10,983.94
  6. Step 6: Final answer
    x = 12,723.53

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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.