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Finding the Fourth Proportional to 6,500.46, 9,756.27 and 2,607.54

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Solution

The fourth proportional to 6,500.46, 9,756.27 and 2,607.54 is: 3,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.46 : 9,756.27 = 2,607.54 : x
  2. Step 2: Convert to fraction form
    6,500.46/9,756.27 = 2,607.54/x
  3. Step 3: Cross multiply
    6,500.46x = 9,756.27 × 2,607.54
  4. Step 4: Simplify right side
    6,500.46x = 25,439,864.28
  5. Step 5: Solve for x
    x = 25,439,864.28/6,500.46
  6. Step 6: Final answer
    x = 3,913.55

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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.