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Finding the Fourth Proportional to 12,237.38, 16,887.64 and 6,932.20

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Solution

The fourth proportional to 12,237.38, 16,887.64 and 6,932.20 is: 9,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.38 : 16,887.64 = 6,932.20 : x
  2. Step 2: Convert to fraction form
    12,237.38/16,887.64 = 6,932.20/x
  3. Step 3: Cross multiply
    12,237.38x = 16,887.64 × 6,932.20
  4. Step 4: Simplify right side
    12,237.38x = 117,068,498.01
  5. Step 5: Solve for x
    x = 117,068,498.01/12,237.38
  6. Step 6: Final answer
    x = 9,566.47

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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.