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Finding the Fourth Proportional to 5,949.96, 8,210.96 and 3,297.48

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Solution

The fourth proportional to 5,949.96, 8,210.96 and 3,297.48 is: 4,550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.96 : 8,210.96 = 3,297.48 : x
  2. Step 2: Convert to fraction form
    5,949.96/8,210.96 = 3,297.48/x
  3. Step 3: Cross multiply
    5,949.96x = 8,210.96 × 3,297.48
  4. Step 4: Simplify right side
    5,949.96x = 27,075,476.38
  5. Step 5: Solve for x
    x = 27,075,476.38/5,949.96
  6. Step 6: Final answer
    x = 4,550.53

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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.