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Finding the Fourth Proportional to 7,446, 11,170.36 and 3,061.06

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Solution

The fourth proportional to 7,446, 11,170.36 and 3,061.06 is: 4,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446 : 11,170.36 = 3,061.06 : x
  2. Step 2: Convert to fraction form
    7,446/11,170.36 = 3,061.06/x
  3. Step 3: Cross multiply
    7,446x = 11,170.36 × 3,061.06
  4. Step 4: Simplify right side
    7,446x = 34,193,142.18
  5. Step 5: Solve for x
    x = 34,193,142.18/7,446
  6. Step 6: Final answer
    x = 4,592.15

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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.