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Finding the Fourth Proportional to 9,761.72, 13,464.23 and 6,737.99

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Solution

The fourth proportional to 9,761.72, 13,464.23 and 6,737.99 is: 9,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.72 : 13,464.23 = 6,737.99 : x
  2. Step 2: Convert to fraction form
    9,761.72/13,464.23 = 6,737.99/x
  3. Step 3: Cross multiply
    9,761.72x = 13,464.23 × 6,737.99
  4. Step 4: Simplify right side
    9,761.72x = 90,721,746.09
  5. Step 5: Solve for x
    x = 90,721,746.09/9,761.72
  6. Step 6: Final answer
    x = 9,293.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.