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Finding the Fourth Proportional to 6,202.84, 8,559.84 and 3,408.16

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Solution

The fourth proportional to 6,202.84, 8,559.84 and 3,408.16 is: 4,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.84 : 8,559.84 = 3,408.16 : x
  2. Step 2: Convert to fraction form
    6,202.84/8,559.84 = 3,408.16/x
  3. Step 3: Cross multiply
    6,202.84x = 8,559.84 × 3,408.16
  4. Step 4: Simplify right side
    6,202.84x = 29,173,304.29
  5. Step 5: Solve for x
    x = 29,173,304.29/6,202.84
  6. Step 6: Final answer
    x = 4,703.22

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Half scale
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Double scale
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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.