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Finding the Fourth Proportional to 10,793.78, 14,896.49 and 6,317.27

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Solution

The fourth proportional to 10,793.78, 14,896.49 and 6,317.27 is: 8,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.78 : 14,896.49 = 6,317.27 : x
  2. Step 2: Convert to fraction form
    10,793.78/14,896.49 = 6,317.27/x
  3. Step 3: Cross multiply
    10,793.78x = 14,896.49 × 6,317.27
  4. Step 4: Simplify right side
    10,793.78x = 94,105,149.38
  5. Step 5: Solve for x
    x = 94,105,149.38/10,793.78
  6. Step 6: Final answer
    x = 8,718.46

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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.