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Finding the Fourth Proportional to 6,364.46, 9,543.60 and 2,204.71

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Solution

The fourth proportional to 6,364.46, 9,543.60 and 2,204.71 is: 3,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.46 : 9,543.60 = 2,204.71 : x
  2. Step 2: Convert to fraction form
    6,364.46/9,543.60 = 2,204.71/x
  3. Step 3: Cross multiply
    6,364.46x = 9,543.60 × 2,204.71
  4. Step 4: Simplify right side
    6,364.46x = 21,040,870.36
  5. Step 5: Solve for x
    x = 21,040,870.36/6,364.46
  6. Step 6: Final answer
    x = 3,305.99

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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.