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Finding the Fourth Proportional to 6,690.58, 9,232.87 and 3,706.41

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Solution

The fourth proportional to 6,690.58, 9,232.87 and 3,706.41 is: 5,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.58 : 9,232.87 = 3,706.41 : x
  2. Step 2: Convert to fraction form
    6,690.58/9,232.87 = 3,706.41/x
  3. Step 3: Cross multiply
    6,690.58x = 9,232.87 × 3,706.41
  4. Step 4: Simplify right side
    6,690.58x = 34,220,801.70
  5. Step 5: Solve for x
    x = 34,220,801.70/6,690.58
  6. Step 6: Final answer
    x = 5,114.77

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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.