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Finding the Fourth Proportional to 6,146.73, 9,219.86 and 1,764.19

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Solution

The fourth proportional to 6,146.73, 9,219.86 and 1,764.19 is: 2,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.73 : 9,219.86 = 1,764.19 : x
  2. Step 2: Convert to fraction form
    6,146.73/9,219.86 = 1,764.19/x
  3. Step 3: Cross multiply
    6,146.73x = 9,219.86 × 1,764.19
  4. Step 4: Simplify right side
    6,146.73x = 16,265,575.99
  5. Step 5: Solve for x
    x = 16,265,575.99/6,146.73
  6. Step 6: Final answer
    x = 2,646.22

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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.