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Finding the Fourth Proportional to 12,467.77, 17,207.24 and 7,162.47

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Solution

The fourth proportional to 12,467.77, 17,207.24 and 7,162.47 is: 9,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.77 : 17,207.24 = 7,162.47 : x
  2. Step 2: Convert to fraction form
    12,467.77/17,207.24 = 7,162.47/x
  3. Step 3: Cross multiply
    12,467.77x = 17,207.24 × 7,162.47
  4. Step 4: Simplify right side
    12,467.77x = 123,246,304.47
  5. Step 5: Solve for x
    x = 123,246,304.47/12,467.77
  6. Step 6: Final answer
    x = 9,885.19

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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.