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Finding the Fourth Proportional to 6,527.58, 9,791.52 and 1,597.26

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Solution

The fourth proportional to 6,527.58, 9,791.52 and 1,597.26 is: 2,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.58 : 9,791.52 = 1,597.26 : x
  2. Step 2: Convert to fraction form
    6,527.58/9,791.52 = 1,597.26/x
  3. Step 3: Cross multiply
    6,527.58x = 9,791.52 × 1,597.26
  4. Step 4: Simplify right side
    6,527.58x = 15,639,603.24
  5. Step 5: Solve for x
    x = 15,639,603.24/6,527.58
  6. Step 6: Final answer
    x = 2,395.93

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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.