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Finding the Fourth Proportional to 6,356.22, 9,536.95 and 2,796.51

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Solution

The fourth proportional to 6,356.22, 9,536.95 and 2,796.51 is: 4,195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.22 : 9,536.95 = 2,796.51 : x
  2. Step 2: Convert to fraction form
    6,356.22/9,536.95 = 2,796.51/x
  3. Step 3: Cross multiply
    6,356.22x = 9,536.95 × 2,796.51
  4. Step 4: Simplify right side
    6,356.22x = 26,670,176.04
  5. Step 5: Solve for x
    x = 26,670,176.04/6,356.22
  6. Step 6: Final answer
    x = 4,195.92

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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.