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Finding the Fourth Proportional to 6,589.76, 9,869.50 and 4,274.24

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Solution

The fourth proportional to 6,589.76, 9,869.50 and 4,274.24 is: 6,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.76 : 9,869.50 = 4,274.24 : x
  2. Step 2: Convert to fraction form
    6,589.76/9,869.50 = 4,274.24/x
  3. Step 3: Cross multiply
    6,589.76x = 9,869.50 × 4,274.24
  4. Step 4: Simplify right side
    6,589.76x = 42,184,611.68
  5. Step 5: Solve for x
    x = 42,184,611.68/6,589.76
  6. Step 6: Final answer
    x = 6,401.54

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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.