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Finding the Fourth Proportional to 6,527.86, 9,791.79 and 1,597.50

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Solution

The fourth proportional to 6,527.86, 9,791.79 and 1,597.50 is: 2,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.86 : 9,791.79 = 1,597.50 : x
  2. Step 2: Convert to fraction form
    6,527.86/9,791.79 = 1,597.50/x
  3. Step 3: Cross multiply
    6,527.86x = 9,791.79 × 1,597.50
  4. Step 4: Simplify right side
    6,527.86x = 15,642,384.53
  5. Step 5: Solve for x
    x = 15,642,384.53/6,527.86
  6. Step 6: Final answer
    x = 2,396.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.