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Finding the Fourth Proportional to 6,733.06, 10,083.93 and 6,499.46

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Solution

The fourth proportional to 6,733.06, 10,083.93 and 6,499.46 is: 9,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.06 : 10,083.93 = 6,499.46 : x
  2. Step 2: Convert to fraction form
    6,733.06/10,083.93 = 6,499.46/x
  3. Step 3: Cross multiply
    6,733.06x = 10,083.93 × 6,499.46
  4. Step 4: Simplify right side
    6,733.06x = 65,540,100.51
  5. Step 5: Solve for x
    x = 65,540,100.51/6,733.06
  6. Step 6: Final answer
    x = 9,734.08

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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.