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Finding the Fourth Proportional to 6,842.83, 10,264.32 and 2,400.31

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Solution

The fourth proportional to 6,842.83, 10,264.32 and 2,400.31 is: 3,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.83 : 10,264.32 = 2,400.31 : x
  2. Step 2: Convert to fraction form
    6,842.83/10,264.32 = 2,400.31/x
  3. Step 3: Cross multiply
    6,842.83x = 10,264.32 × 2,400.31
  4. Step 4: Simplify right side
    6,842.83x = 24,637,533.90
  5. Step 5: Solve for x
    x = 24,637,533.90/6,842.83
  6. Step 6: Final answer
    x = 3,600.49

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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.