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Finding the Fourth Proportional to 7,046.70, 10,570.44 and 3,096

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Solution

The fourth proportional to 7,046.70, 10,570.44 and 3,096 is: 4,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.70 : 10,570.44 = 3,096 : x
  2. Step 2: Convert to fraction form
    7,046.70/10,570.44 = 3,096/x
  3. Step 3: Cross multiply
    7,046.70x = 10,570.44 × 3,096
  4. Step 4: Simplify right side
    7,046.70x = 32,726,082.24
  5. Step 5: Solve for x
    x = 32,726,082.24/7,046.70
  6. Step 6: Final answer
    x = 4,644.17

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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.