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Finding the Fourth Proportional to 9,194.77, 13,790.11 and 3,646.63

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Solution

The fourth proportional to 9,194.77, 13,790.11 and 3,646.63 is: 5,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.77 : 13,790.11 = 3,646.63 : x
  2. Step 2: Convert to fraction form
    9,194.77/13,790.11 = 3,646.63/x
  3. Step 3: Cross multiply
    9,194.77x = 13,790.11 × 3,646.63
  4. Step 4: Simplify right side
    9,194.77x = 50,287,428.83
  5. Step 5: Solve for x
    x = 50,287,428.83/9,194.77
  6. Step 6: Final answer
    x = 5,469.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.