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Finding the Fourth Proportional to 7,062.48, 9,745.14 and 4,229.19

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Solution

The fourth proportional to 7,062.48, 9,745.14 and 4,229.19 is: 5,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.48 : 9,745.14 = 4,229.19 : x
  2. Step 2: Convert to fraction form
    7,062.48/9,745.14 = 4,229.19/x
  3. Step 3: Cross multiply
    7,062.48x = 9,745.14 × 4,229.19
  4. Step 4: Simplify right side
    7,062.48x = 41,214,048.64
  5. Step 5: Solve for x
    x = 41,214,048.64/7,062.48
  6. Step 6: Final answer
    x = 5,835.63

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1.5x scale

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.