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Finding the Fourth Proportional to 4,773.49, 6,586.99 and 2,784.22

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Solution

The fourth proportional to 4,773.49, 6,586.99 and 2,784.22 is: 3,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.49 : 6,586.99 = 2,784.22 : x
  2. Step 2: Convert to fraction form
    4,773.49/6,586.99 = 2,784.22/x
  3. Step 3: Cross multiply
    4,773.49x = 6,586.99 × 2,784.22
  4. Step 4: Simplify right side
    4,773.49x = 18,339,605.87
  5. Step 5: Solve for x
    x = 18,339,605.87/4,773.49
  6. Step 6: Final answer
    x = 3,841.97

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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.