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Finding the Fourth Proportional to 11,754.12, 16,223.48 and 7,511.48

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Solution

The fourth proportional to 11,754.12, 16,223.48 and 7,511.48 is: 10,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.12 : 16,223.48 = 7,511.48 : x
  2. Step 2: Convert to fraction form
    11,754.12/16,223.48 = 7,511.48/x
  3. Step 3: Cross multiply
    11,754.12x = 16,223.48 × 7,511.48
  4. Step 4: Simplify right side
    11,754.12x = 121,862,345.55
  5. Step 5: Solve for x
    x = 121,862,345.55/11,754.12
  6. Step 6: Final answer
    x = 10,367.63

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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.