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Finding the Fourth Proportional to 6,350.68, 9,526.62 and 2,455

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Solution

The fourth proportional to 6,350.68, 9,526.62 and 2,455 is: 3,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.68 : 9,526.62 = 2,455 : x
  2. Step 2: Convert to fraction form
    6,350.68/9,526.62 = 2,455/x
  3. Step 3: Cross multiply
    6,350.68x = 9,526.62 × 2,455
  4. Step 4: Simplify right side
    6,350.68x = 23,387,852.10
  5. Step 5: Solve for x
    x = 23,387,852.10/6,350.68
  6. Step 6: Final answer
    x = 3,682.73

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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.