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Finding the Fourth Proportional to 9,923.56, 14,871.44 and 7,456.80

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Solution

The fourth proportional to 9,923.56, 14,871.44 and 7,456.80 is: 11,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.56 : 14,871.44 = 7,456.80 : x
  2. Step 2: Convert to fraction form
    9,923.56/14,871.44 = 7,456.80/x
  3. Step 3: Cross multiply
    9,923.56x = 14,871.44 × 7,456.80
  4. Step 4: Simplify right side
    9,923.56x = 110,893,372.33
  5. Step 5: Solve for x
    x = 110,893,372.33/9,923.56
  6. Step 6: Final answer
    x = 11,174.76

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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.