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Finding the Fourth Proportional to 6,499.24, 9,748.96 and 2,602.76

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Solution

The fourth proportional to 6,499.24, 9,748.96 and 2,602.76 is: 3,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.24 : 9,748.96 = 2,602.76 : x
  2. Step 2: Convert to fraction form
    6,499.24/9,748.96 = 2,602.76/x
  3. Step 3: Cross multiply
    6,499.24x = 9,748.96 × 2,602.76
  4. Step 4: Simplify right side
    6,499.24x = 25,374,203.13
  5. Step 5: Solve for x
    x = 25,374,203.13/6,499.24
  6. Step 6: Final answer
    x = 3,904.18

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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.