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Finding the Fourth Proportional to 7,706.88, 11,549.16 and 4,193.91

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Solution

The fourth proportional to 7,706.88, 11,549.16 and 4,193.91 is: 6,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.88 : 11,549.16 = 4,193.91 : x
  2. Step 2: Convert to fraction form
    7,706.88/11,549.16 = 4,193.91/x
  3. Step 3: Cross multiply
    7,706.88x = 11,549.16 × 4,193.91
  4. Step 4: Simplify right side
    7,706.88x = 48,436,137.62
  5. Step 5: Solve for x
    x = 48,436,137.62/7,706.88
  6. Step 6: Final answer
    x = 6,284.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.