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Finding the Fourth Proportional to 6,002.49, 8,283.50 and 3,349.84

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Solution

The fourth proportional to 6,002.49, 8,283.50 and 3,349.84 is: 4,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.49 : 8,283.50 = 3,349.84 : x
  2. Step 2: Convert to fraction form
    6,002.49/8,283.50 = 3,349.84/x
  3. Step 3: Cross multiply
    6,002.49x = 8,283.50 × 3,349.84
  4. Step 4: Simplify right side
    6,002.49x = 27,748,399.64
  5. Step 5: Solve for x
    x = 27,748,399.64/6,002.49
  6. Step 6: Final answer
    x = 4,622.81

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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.