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Finding the Fourth Proportional to 6,645.24, 9,967.76 and 1,714.47

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Solution

The fourth proportional to 6,645.24, 9,967.76 and 1,714.47 is: 2,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.24 : 9,967.76 = 1,714.47 : x
  2. Step 2: Convert to fraction form
    6,645.24/9,967.76 = 1,714.47/x
  3. Step 3: Cross multiply
    6,645.24x = 9,967.76 × 1,714.47
  4. Step 4: Simplify right side
    6,645.24x = 17,089,385.97
  5. Step 5: Solve for x
    x = 17,089,385.97/6,645.24
  6. Step 6: Final answer
    x = 2,571.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.