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Finding the Fourth Proportional to 12,194.17, 16,827.93 and 6,605.17

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Solution

The fourth proportional to 12,194.17, 16,827.93 and 6,605.17 is: 9,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.17 : 16,827.93 = 6,605.17 : x
  2. Step 2: Convert to fraction form
    12,194.17/16,827.93 = 6,605.17/x
  3. Step 3: Cross multiply
    12,194.17x = 16,827.93 × 6,605.17
  4. Step 4: Simplify right side
    12,194.17x = 111,151,296.33
  5. Step 5: Solve for x
    x = 111,151,296.33/12,194.17
  6. Step 6: Final answer
    x = 9,115.12

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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.