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Finding the Fourth Proportional to 9,586.98, 14,379.84 and 5,889.78

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Solution

The fourth proportional to 9,586.98, 14,379.84 and 5,889.78 is: 8,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.98 : 14,379.84 = 5,889.78 : x
  2. Step 2: Convert to fraction form
    9,586.98/14,379.84 = 5,889.78/x
  3. Step 3: Cross multiply
    9,586.98x = 14,379.84 × 5,889.78
  4. Step 4: Simplify right side
    9,586.98x = 84,694,094.04
  5. Step 5: Solve for x
    x = 84,694,094.04/9,586.98
  6. Step 6: Final answer
    x = 8,834.28

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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.