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Finding the Fourth Proportional to 6,833.58, 10,242.14 and 2,883.32

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Solution

The fourth proportional to 6,833.58, 10,242.14 and 2,883.32 is: 4,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.58 : 10,242.14 = 2,883.32 : x
  2. Step 2: Convert to fraction form
    6,833.58/10,242.14 = 2,883.32/x
  3. Step 3: Cross multiply
    6,833.58x = 10,242.14 × 2,883.32
  4. Step 4: Simplify right side
    6,833.58x = 29,531,315.89
  5. Step 5: Solve for x
    x = 29,531,315.89/6,833.58
  6. Step 6: Final answer
    x = 4,321.50

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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.