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Finding the Fourth Proportional to 6,349, 9,527.15 and 4,958.43

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Solution

The fourth proportional to 6,349, 9,527.15 and 4,958.43 is: 7,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349 : 9,527.15 = 4,958.43 : x
  2. Step 2: Convert to fraction form
    6,349/9,527.15 = 4,958.43/x
  3. Step 3: Cross multiply
    6,349x = 9,527.15 × 4,958.43
  4. Step 4: Simplify right side
    6,349x = 47,239,706.37
  5. Step 5: Solve for x
    x = 47,239,706.37/6,349
  6. Step 6: Final answer
    x = 7,440.50

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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.