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Finding the Fourth Proportional to 6,223.84, 8,589 and 3,429.36

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Solution

The fourth proportional to 6,223.84, 8,589 and 3,429.36 is: 4,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.84 : 8,589 = 3,429.36 : x
  2. Step 2: Convert to fraction form
    6,223.84/8,589 = 3,429.36/x
  3. Step 3: Cross multiply
    6,223.84x = 8,589 × 3,429.36
  4. Step 4: Simplify right side
    6,223.84x = 29,454,773.04
  5. Step 5: Solve for x
    x = 29,454,773.04/6,223.84
  6. Step 6: Final answer
    x = 4,732.57

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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.