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Finding the Fourth Proportional to 9,503.91, 14,259.03 and 5,989.86

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Solution

The fourth proportional to 9,503.91, 14,259.03 and 5,989.86 is: 8,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.91 : 14,259.03 = 5,989.86 : x
  2. Step 2: Convert to fraction form
    9,503.91/14,259.03 = 5,989.86/x
  3. Step 3: Cross multiply
    9,503.91x = 14,259.03 × 5,989.86
  4. Step 4: Simplify right side
    9,503.91x = 85,409,593.44
  5. Step 5: Solve for x
    x = 85,409,593.44/9,503.91
  6. Step 6: Final answer
    x = 8,986.78

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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.