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Finding the Fourth Proportional to 6,561.92, 9,842.72 and 1,944.96

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Solution

The fourth proportional to 6,561.92, 9,842.72 and 1,944.96 is: 2,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.92 : 9,842.72 = 1,944.96 : x
  2. Step 2: Convert to fraction form
    6,561.92/9,842.72 = 1,944.96/x
  3. Step 3: Cross multiply
    6,561.92x = 9,842.72 × 1,944.96
  4. Step 4: Simplify right side
    6,561.92x = 19,143,696.69
  5. Step 5: Solve for x
    x = 19,143,696.69/6,561.92
  6. Step 6: Final answer
    x = 2,917.39

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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.