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Finding the Fourth Proportional to 6,505.07, 9,756.87 and 1,825.46

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Solution

The fourth proportional to 6,505.07, 9,756.87 and 1,825.46 is: 2,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.07 : 9,756.87 = 1,825.46 : x
  2. Step 2: Convert to fraction form
    6,505.07/9,756.87 = 1,825.46/x
  3. Step 3: Cross multiply
    6,505.07x = 9,756.87 × 1,825.46
  4. Step 4: Simplify right side
    6,505.07x = 17,810,786.88
  5. Step 5: Solve for x
    x = 17,810,786.88/6,505.07
  6. Step 6: Final answer
    x = 2,737.98

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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.