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Finding the Fourth Proportional to 6,527, 9,007.26 and 3,732.50

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Solution

The fourth proportional to 6,527, 9,007.26 and 3,732.50 is: 5,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527 : 9,007.26 = 3,732.50 : x
  2. Step 2: Convert to fraction form
    6,527/9,007.26 = 3,732.50/x
  3. Step 3: Cross multiply
    6,527x = 9,007.26 × 3,732.50
  4. Step 4: Simplify right side
    6,527x = 33,619,597.95
  5. Step 5: Solve for x
    x = 33,619,597.95/6,527
  6. Step 6: Final answer
    x = 5,150.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.