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Finding the Fourth Proportional to 10,616.53, 14,651.62 and 6,367.75

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Solution

The fourth proportional to 10,616.53, 14,651.62 and 6,367.75 is: 8,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.53 : 14,651.62 = 6,367.75 : x
  2. Step 2: Convert to fraction form
    10,616.53/14,651.62 = 6,367.75/x
  3. Step 3: Cross multiply
    10,616.53x = 14,651.62 × 6,367.75
  4. Step 4: Simplify right side
    10,616.53x = 93,297,853.26
  5. Step 5: Solve for x
    x = 93,297,853.26/10,616.53
  6. Step 6: Final answer
    x = 8,787.98

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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.