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Finding the Fourth Proportional to 6,995.61, 10,497.96 and 6,534.54

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Solution

The fourth proportional to 6,995.61, 10,497.96 and 6,534.54 is: 9,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.61 : 10,497.96 = 6,534.54 : x
  2. Step 2: Convert to fraction form
    6,995.61/10,497.96 = 6,534.54/x
  3. Step 3: Cross multiply
    6,995.61x = 10,497.96 × 6,534.54
  4. Step 4: Simplify right side
    6,995.61x = 68,599,339.54
  5. Step 5: Solve for x
    x = 68,599,339.54/6,995.61
  6. Step 6: Final answer
    x = 9,806.06

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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.