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Finding the Fourth Proportional to 9,600.80, 14,401.92 and 2,580.80

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Solution

The fourth proportional to 9,600.80, 14,401.92 and 2,580.80 is: 3,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.80 : 14,401.92 = 2,580.80 : x
  2. Step 2: Convert to fraction form
    9,600.80/14,401.92 = 2,580.80/x
  3. Step 3: Cross multiply
    9,600.80x = 14,401.92 × 2,580.80
  4. Step 4: Simplify right side
    9,600.80x = 37,168,475.14
  5. Step 5: Solve for x
    x = 37,168,475.14/9,600.80
  6. Step 6: Final answer
    x = 3,871.39

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1.5x scale

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.