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Finding the Fourth Proportional to 7,705.20, 10,644.48 and 6,150

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Solution

The fourth proportional to 7,705.20, 10,644.48 and 6,150 is: 8,496.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.20 : 10,644.48 = 6,150 : x
  2. Step 2: Convert to fraction form
    7,705.20/10,644.48 = 6,150/x
  3. Step 3: Cross multiply
    7,705.20x = 10,644.48 × 6,150
  4. Step 4: Simplify right side
    7,705.20x = 65,463,552
  5. Step 5: Solve for x
    x = 65,463,552/7,705.20
  6. Step 6: Final answer
    x = 8,496.02

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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.