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Finding the Fourth Proportional to 6,525.38, 9,002.67 and 4,008.30

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Solution

The fourth proportional to 6,525.38, 9,002.67 and 4,008.30 is: 5,530.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.38 : 9,002.67 = 4,008.30 : x
  2. Step 2: Convert to fraction form
    6,525.38/9,002.67 = 4,008.30/x
  3. Step 3: Cross multiply
    6,525.38x = 9,002.67 × 4,008.30
  4. Step 4: Simplify right side
    6,525.38x = 36,085,357.50
  5. Step 5: Solve for x
    x = 36,085,357.50/6,525.38
  6. Step 6: Final answer
    x = 5,530.00

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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.