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Finding the Fourth Proportional to 4,967.57, 6,855.22 and 2,698.90

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Solution

The fourth proportional to 4,967.57, 6,855.22 and 2,698.90 is: 3,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.57 : 6,855.22 = 2,698.90 : x
  2. Step 2: Convert to fraction form
    4,967.57/6,855.22 = 2,698.90/x
  3. Step 3: Cross multiply
    4,967.57x = 6,855.22 × 2,698.90
  4. Step 4: Simplify right side
    4,967.57x = 18,501,539.49
  5. Step 5: Solve for x
    x = 18,501,539.49/4,967.57
  6. Step 6: Final answer
    x = 3,724.46

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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.