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Finding the Fourth Proportional to 11,467.77, 15,823.11 and 7,494.72

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Solution

The fourth proportional to 11,467.77, 15,823.11 and 7,494.72 is: 10,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.77 : 15,823.11 = 7,494.72 : x
  2. Step 2: Convert to fraction form
    11,467.77/15,823.11 = 7,494.72/x
  3. Step 3: Cross multiply
    11,467.77x = 15,823.11 × 7,494.72
  4. Step 4: Simplify right side
    11,467.77x = 118,589,778.98
  5. Step 5: Solve for x
    x = 118,589,778.98/11,467.77
  6. Step 6: Final answer
    x = 10,341.14

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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.