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Finding the Fourth Proportional to 6,506.86, 9,761.80 and 2,124.34

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Solution

The fourth proportional to 6,506.86, 9,761.80 and 2,124.34 is: 3,187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.86 : 9,761.80 = 2,124.34 : x
  2. Step 2: Convert to fraction form
    6,506.86/9,761.80 = 2,124.34/x
  3. Step 3: Cross multiply
    6,506.86x = 9,761.80 × 2,124.34
  4. Step 4: Simplify right side
    6,506.86x = 20,737,382.21
  5. Step 5: Solve for x
    x = 20,737,382.21/6,506.86
  6. Step 6: Final answer
    x = 3,187.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.