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Finding the Fourth Proportional to 6,471.63, 9,711.77 and 3,551.99

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Solution

The fourth proportional to 6,471.63, 9,711.77 and 3,551.99 is: 5,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.63 : 9,711.77 = 3,551.99 : x
  2. Step 2: Convert to fraction form
    6,471.63/9,711.77 = 3,551.99/x
  3. Step 3: Cross multiply
    6,471.63x = 9,711.77 × 3,551.99
  4. Step 4: Simplify right side
    6,471.63x = 34,496,043.60
  5. Step 5: Solve for x
    x = 34,496,043.60/6,471.63
  6. Step 6: Final answer
    x = 5,330.35

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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.