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Finding the Fourth Proportional to 6,163.84, 8,506 and 3,369.16

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Solution

The fourth proportional to 6,163.84, 8,506 and 3,369.16 is: 4,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.84 : 8,506 = 3,369.16 : x
  2. Step 2: Convert to fraction form
    6,163.84/8,506 = 3,369.16/x
  3. Step 3: Cross multiply
    6,163.84x = 8,506 × 3,369.16
  4. Step 4: Simplify right side
    6,163.84x = 28,658,074.96
  5. Step 5: Solve for x
    x = 28,658,074.96/6,163.84
  6. Step 6: Final answer
    x = 4,649.39

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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.