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Finding the Fourth Proportional to 12,194.93, 16,829.06 and 6,605.93

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Solution

The fourth proportional to 12,194.93, 16,829.06 and 6,605.93 is: 9,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.93 : 16,829.06 = 6,605.93 : x
  2. Step 2: Convert to fraction form
    12,194.93/16,829.06 = 6,605.93/x
  3. Step 3: Cross multiply
    12,194.93x = 16,829.06 × 6,605.93
  4. Step 4: Simplify right side
    12,194.93x = 111,171,559.30
  5. Step 5: Solve for x
    x = 111,171,559.30/12,194.93
  6. Step 6: Final answer
    x = 9,116.21

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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.