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Finding the Fourth Proportional to 4,813.67, 6,642.92 and 2,824.26

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Solution

The fourth proportional to 4,813.67, 6,642.92 and 2,824.26 is: 3,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.67 : 6,642.92 = 2,824.26 : x
  2. Step 2: Convert to fraction form
    4,813.67/6,642.92 = 2,824.26/x
  3. Step 3: Cross multiply
    4,813.67x = 6,642.92 × 2,824.26
  4. Step 4: Simplify right side
    4,813.67x = 18,761,333.24
  5. Step 5: Solve for x
    x = 18,761,333.24/4,813.67
  6. Step 6: Final answer
    x = 3,897.51

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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.