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Finding the Fourth Proportional to 6,527.21, 9,007.30 and 3,542.98

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Solution

The fourth proportional to 6,527.21, 9,007.30 and 3,542.98 is: 4,889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.21 : 9,007.30 = 3,542.98 : x
  2. Step 2: Convert to fraction form
    6,527.21/9,007.30 = 3,542.98/x
  3. Step 3: Cross multiply
    6,527.21x = 9,007.30 × 3,542.98
  4. Step 4: Simplify right side
    6,527.21x = 31,912,652.38
  5. Step 5: Solve for x
    x = 31,912,652.38/6,527.21
  6. Step 6: Final answer
    x = 4,889.18

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Why These Related Problems?

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