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Finding the Fourth Proportional to 6,849.77, 10,275.26 and 2,466.86

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Solution

The fourth proportional to 6,849.77, 10,275.26 and 2,466.86 is: 3,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.77 : 10,275.26 = 2,466.86 : x
  2. Step 2: Convert to fraction form
    6,849.77/10,275.26 = 2,466.86/x
  3. Step 3: Cross multiply
    6,849.77x = 10,275.26 × 2,466.86
  4. Step 4: Simplify right side
    6,849.77x = 25,347,564.17
  5. Step 5: Solve for x
    x = 25,347,564.17/6,849.77
  6. Step 6: Final answer
    x = 3,700.50

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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.