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Finding the Fourth Proportional to 9,737.94, 14,606.91 and 7,793.94

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Solution

The fourth proportional to 9,737.94, 14,606.91 and 7,793.94 is: 11,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.94 : 14,606.91 = 7,793.94 : x
  2. Step 2: Convert to fraction form
    9,737.94/14,606.91 = 7,793.94/x
  3. Step 3: Cross multiply
    9,737.94x = 14,606.91 × 7,793.94
  4. Step 4: Simplify right side
    9,737.94x = 113,845,380.13
  5. Step 5: Solve for x
    x = 113,845,380.13/9,737.94
  6. Step 6: Final answer
    x = 11,690.91

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1.5x scale

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.