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Finding the Fourth Proportional to 6,498.06, 9,755.25 and 5,415.66

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Solution

The fourth proportional to 6,498.06, 9,755.25 and 5,415.66 is: 8,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.06 : 9,755.25 = 5,415.66 : x
  2. Step 2: Convert to fraction form
    6,498.06/9,755.25 = 5,415.66/x
  3. Step 3: Cross multiply
    6,498.06x = 9,755.25 × 5,415.66
  4. Step 4: Simplify right side
    6,498.06x = 52,831,117.22
  5. Step 5: Solve for x
    x = 52,831,117.22/6,498.06
  6. Step 6: Final answer
    x = 8,130.29

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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.