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Finding the Fourth Proportional to 6,416.75, 8,855.01 and 3,584.17

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Solution

The fourth proportional to 6,416.75, 8,855.01 and 3,584.17 is: 4,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.75 : 8,855.01 = 3,584.17 : x
  2. Step 2: Convert to fraction form
    6,416.75/8,855.01 = 3,584.17/x
  3. Step 3: Cross multiply
    6,416.75x = 8,855.01 × 3,584.17
  4. Step 4: Simplify right side
    6,416.75x = 31,737,839.05
  5. Step 5: Solve for x
    x = 31,737,839.05/6,416.75
  6. Step 6: Final answer
    x = 4,946.10

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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.