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Finding the Fourth Proportional to 12,651.76, 17,467.64 and 11,323.16

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Solution

The fourth proportional to 12,651.76, 17,467.64 and 11,323.16 is: 15,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.76 : 17,467.64 = 11,323.16 : x
  2. Step 2: Convert to fraction form
    12,651.76/17,467.64 = 11,323.16/x
  3. Step 3: Cross multiply
    12,651.76x = 17,467.64 × 11,323.16
  4. Step 4: Simplify right side
    12,651.76x = 197,788,882.54
  5. Step 5: Solve for x
    x = 197,788,882.54/12,651.76
  6. Step 6: Final answer
    x = 15,633.31

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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.