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Finding the Fourth Proportional to 9,737.54, 14,606.27 and 2,717.54

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Solution

The fourth proportional to 9,737.54, 14,606.27 and 2,717.54 is: 4,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.54 : 14,606.27 = 2,717.54 : x
  2. Step 2: Convert to fraction form
    9,737.54/14,606.27 = 2,717.54/x
  3. Step 3: Cross multiply
    9,737.54x = 14,606.27 × 2,717.54
  4. Step 4: Simplify right side
    9,737.54x = 39,693,122.98
  5. Step 5: Solve for x
    x = 39,693,122.98/9,737.54
  6. Step 6: Final answer
    x = 4,076.30

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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.