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Finding the Fourth Proportional to 6,710.46, 10,064.16 and 2,550.93

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Solution

The fourth proportional to 6,710.46, 10,064.16 and 2,550.93 is: 3,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.46 : 10,064.16 = 2,550.93 : x
  2. Step 2: Convert to fraction form
    6,710.46/10,064.16 = 2,550.93/x
  3. Step 3: Cross multiply
    6,710.46x = 10,064.16 × 2,550.93
  4. Step 4: Simplify right side
    6,710.46x = 25,672,967.67
  5. Step 5: Solve for x
    x = 25,672,967.67/6,710.46
  6. Step 6: Final answer
    x = 3,825.81

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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.