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Finding the Fourth Proportional to 9,856.56, 14,747.77 and 5,893.23

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Solution

The fourth proportional to 9,856.56, 14,747.77 and 5,893.23 is: 8,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.56 : 14,747.77 = 5,893.23 : x
  2. Step 2: Convert to fraction form
    9,856.56/14,747.77 = 5,893.23/x
  3. Step 3: Cross multiply
    9,856.56x = 14,747.77 × 5,893.23
  4. Step 4: Simplify right side
    9,856.56x = 86,912,000.60
  5. Step 5: Solve for x
    x = 86,912,000.60/9,856.56
  6. Step 6: Final answer
    x = 8,817.68

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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.