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Finding the Fourth Proportional to 6,441.76, 9,662.50 and 2,059.17

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Solution

The fourth proportional to 6,441.76, 9,662.50 and 2,059.17 is: 3,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.76 : 9,662.50 = 2,059.17 : x
  2. Step 2: Convert to fraction form
    6,441.76/9,662.50 = 2,059.17/x
  3. Step 3: Cross multiply
    6,441.76x = 9,662.50 × 2,059.17
  4. Step 4: Simplify right side
    6,441.76x = 19,896,730.13
  5. Step 5: Solve for x
    x = 19,896,730.13/6,441.76
  6. Step 6: Final answer
    x = 3,088.71

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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.