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Finding the Fourth Proportional to 6,566.44, 9,824.10 and 6,014.80

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Solution

The fourth proportional to 6,566.44, 9,824.10 and 6,014.80 is: 8,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.44 : 9,824.10 = 6,014.80 : x
  2. Step 2: Convert to fraction form
    6,566.44/9,824.10 = 6,014.80/x
  3. Step 3: Cross multiply
    6,566.44x = 9,824.10 × 6,014.80
  4. Step 4: Simplify right side
    6,566.44x = 59,089,996.68
  5. Step 5: Solve for x
    x = 59,089,996.68/6,566.44
  6. Step 6: Final answer
    x = 8,998.79

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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.