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Finding the Fourth Proportional to 6,471.33, 9,707.19 and 2,088.82

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Solution

The fourth proportional to 6,471.33, 9,707.19 and 2,088.82 is: 3,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.33 : 9,707.19 = 2,088.82 : x
  2. Step 2: Convert to fraction form
    6,471.33/9,707.19 = 2,088.82/x
  3. Step 3: Cross multiply
    6,471.33x = 9,707.19 × 2,088.82
  4. Step 4: Simplify right side
    6,471.33x = 20,276,572.62
  5. Step 5: Solve for x
    x = 20,276,572.62/6,471.33
  6. Step 6: Final answer
    x = 3,133.29

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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.