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Finding the Fourth Proportional to 6,502.76, 9,754.54 and 2,606.66

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Solution

The fourth proportional to 6,502.76, 9,754.54 and 2,606.66 is: 3,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.76 : 9,754.54 = 2,606.66 : x
  2. Step 2: Convert to fraction form
    6,502.76/9,754.54 = 2,606.66/x
  3. Step 3: Cross multiply
    6,502.76x = 9,754.54 × 2,606.66
  4. Step 4: Simplify right side
    6,502.76x = 25,426,713.95
  5. Step 5: Solve for x
    x = 25,426,713.95/6,502.76
  6. Step 6: Final answer
    x = 3,910.14

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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.