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Finding the Fourth Proportional to 9,600.40, 14,400.60 and 5,722.12

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Solution

The fourth proportional to 9,600.40, 14,400.60 and 5,722.12 is: 8,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.40 : 14,400.60 = 5,722.12 : x
  2. Step 2: Convert to fraction form
    9,600.40/14,400.60 = 5,722.12/x
  3. Step 3: Cross multiply
    9,600.40x = 14,400.60 × 5,722.12
  4. Step 4: Simplify right side
    9,600.40x = 82,401,961.27
  5. Step 5: Solve for x
    x = 82,401,961.27/9,600.40
  6. Step 6: Final answer
    x = 8,583.18

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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.