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Finding the Fourth Proportional to 6,534.90, 9,802.56 and 2,152.68

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Solution

The fourth proportional to 6,534.90, 9,802.56 and 2,152.68 is: 3,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.90 : 9,802.56 = 2,152.68 : x
  2. Step 2: Convert to fraction form
    6,534.90/9,802.56 = 2,152.68/x
  3. Step 3: Cross multiply
    6,534.90x = 9,802.56 × 2,152.68
  4. Step 4: Simplify right side
    6,534.90x = 21,101,774.86
  5. Step 5: Solve for x
    x = 21,101,774.86/6,534.90
  6. Step 6: Final answer
    x = 3,229.09

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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.