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Finding the Fourth Proportional to 6,842.32, 10,263.88 and 2,460.24

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Solution

The fourth proportional to 6,842.32, 10,263.88 and 2,460.24 is: 3,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.32 : 10,263.88 = 2,460.24 : x
  2. Step 2: Convert to fraction form
    6,842.32/10,263.88 = 2,460.24/x
  3. Step 3: Cross multiply
    6,842.32x = 10,263.88 × 2,460.24
  4. Step 4: Simplify right side
    6,842.32x = 25,251,608.13
  5. Step 5: Solve for x
    x = 25,251,608.13/6,842.32
  6. Step 6: Final answer
    x = 3,690.50

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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.