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Finding the Fourth Proportional to 7,201.40, 10,826.40 and 6,132.20

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Solution

The fourth proportional to 7,201.40, 10,826.40 and 6,132.20 is: 9,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.40 : 10,826.40 = 6,132.20 : x
  2. Step 2: Convert to fraction form
    7,201.40/10,826.40 = 6,132.20/x
  3. Step 3: Cross multiply
    7,201.40x = 10,826.40 × 6,132.20
  4. Step 4: Simplify right side
    7,201.40x = 66,389,650.08
  5. Step 5: Solve for x
    x = 66,389,650.08/7,201.40
  6. Step 6: Final answer
    x = 9,218.99

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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.