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Finding the Fourth Proportional to 6,520.56, 9,002.52 and 5,025.71

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Solution

The fourth proportional to 6,520.56, 9,002.52 and 5,025.71 is: 6,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.56 : 9,002.52 = 5,025.71 : x
  2. Step 2: Convert to fraction form
    6,520.56/9,002.52 = 5,025.71/x
  3. Step 3: Cross multiply
    6,520.56x = 9,002.52 × 5,025.71
  4. Step 4: Simplify right side
    6,520.56x = 45,243,984.65
  5. Step 5: Solve for x
    x = 45,243,984.65/6,520.56
  6. Step 6: Final answer
    x = 6,938.67

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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.