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Finding the Fourth Proportional to 6,129.52, 9,194.27 and 1,969.86

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Solution

The fourth proportional to 6,129.52, 9,194.27 and 1,969.86 is: 2,954.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.52 : 9,194.27 = 1,969.86 : x
  2. Step 2: Convert to fraction form
    6,129.52/9,194.27 = 1,969.86/x
  3. Step 3: Cross multiply
    6,129.52x = 9,194.27 × 1,969.86
  4. Step 4: Simplify right side
    6,129.52x = 18,111,424.70
  5. Step 5: Solve for x
    x = 18,111,424.70/6,129.52
  6. Step 6: Final answer
    x = 2,954.79

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Double scale
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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.