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Finding the Fourth Proportional to 6,002.76, 9,004.49 and 1,620.57

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Solution

The fourth proportional to 6,002.76, 9,004.49 and 1,620.57 is: 2,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.76 : 9,004.49 = 1,620.57 : x
  2. Step 2: Convert to fraction form
    6,002.76/9,004.49 = 1,620.57/x
  3. Step 3: Cross multiply
    6,002.76x = 9,004.49 × 1,620.57
  4. Step 4: Simplify right side
    6,002.76x = 14,592,398.26
  5. Step 5: Solve for x
    x = 14,592,398.26/6,002.76
  6. Step 6: Final answer
    x = 2,430.95

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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.