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Finding the Fourth Proportional to 16,537.30, 22,822.63 and 9,367.14

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Solution

The fourth proportional to 16,537.30, 22,822.63 and 9,367.14 is: 12,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.30 : 22,822.63 = 9,367.14 : x
  2. Step 2: Convert to fraction form
    16,537.30/22,822.63 = 9,367.14/x
  3. Step 3: Cross multiply
    16,537.30x = 22,822.63 × 9,367.14
  4. Step 4: Simplify right side
    16,537.30x = 213,782,832.55
  5. Step 5: Solve for x
    x = 213,782,832.55/16,537.30
  6. Step 6: Final answer
    x = 12,927.31

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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.