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Finding the Fourth Proportional to 11,467.24, 15,824.04 and 6,431.42

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Solution

The fourth proportional to 11,467.24, 15,824.04 and 6,431.42 is: 8,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.24 : 15,824.04 = 6,431.42 : x
  2. Step 2: Convert to fraction form
    11,467.24/15,824.04 = 6,431.42/x
  3. Step 3: Cross multiply
    11,467.24x = 15,824.04 × 6,431.42
  4. Step 4: Simplify right side
    11,467.24x = 101,771,047.34
  5. Step 5: Solve for x
    x = 101,771,047.34/11,467.24
  6. Step 6: Final answer
    x = 8,874.94

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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.