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Finding the Fourth Proportional to 6,499.66, 8,969.50 and 3,515.50

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Solution

The fourth proportional to 6,499.66, 8,969.50 and 3,515.50 is: 4,851.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.66 : 8,969.50 = 3,515.50 : x
  2. Step 2: Convert to fraction form
    6,499.66/8,969.50 = 3,515.50/x
  3. Step 3: Cross multiply
    6,499.66x = 8,969.50 × 3,515.50
  4. Step 4: Simplify right side
    6,499.66x = 31,532,277.25
  5. Step 5: Solve for x
    x = 31,532,277.25/6,499.66
  6. Step 6: Final answer
    x = 4,851.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.