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Finding the Fourth Proportional to 6,469.10, 9,703.65 and 6,166.70

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Solution

The fourth proportional to 6,469.10, 9,703.65 and 6,166.70 is: 9,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.10 : 9,703.65 = 6,166.70 : x
  2. Step 2: Convert to fraction form
    6,469.10/9,703.65 = 6,166.70/x
  3. Step 3: Cross multiply
    6,469.10x = 9,703.65 × 6,166.70
  4. Step 4: Simplify right side
    6,469.10x = 59,839,498.46
  5. Step 5: Solve for x
    x = 59,839,498.46/6,469.10
  6. Step 6: Final answer
    x = 9,250.05

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Similar ratio
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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.