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Finding the Fourth Proportional to 6,046.70, 9,069.98 and 1,664.15

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Solution

The fourth proportional to 6,046.70, 9,069.98 and 1,664.15 is: 2,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.70 : 9,069.98 = 1,664.15 : x
  2. Step 2: Convert to fraction form
    6,046.70/9,069.98 = 1,664.15/x
  3. Step 3: Cross multiply
    6,046.70x = 9,069.98 × 1,664.15
  4. Step 4: Simplify right side
    6,046.70x = 15,093,753.55
  5. Step 5: Solve for x
    x = 15,093,753.55/6,046.70
  6. Step 6: Final answer
    x = 2,496.20

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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.