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Finding the Fourth Proportional to 6,562.92, 9,056.67 and 3,578.82

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Solution

The fourth proportional to 6,562.92, 9,056.67 and 3,578.82 is: 4,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.92 : 9,056.67 = 3,578.82 : x
  2. Step 2: Convert to fraction form
    6,562.92/9,056.67 = 3,578.82/x
  3. Step 3: Cross multiply
    6,562.92x = 9,056.67 × 3,578.82
  4. Step 4: Simplify right side
    6,562.92x = 32,412,191.73
  5. Step 5: Solve for x
    x = 32,412,191.73/6,562.92
  6. Step 6: Final answer
    x = 4,938.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.