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Finding the Fourth Proportional to 7,062.24, 9,745.86 and 3,918.42

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Solution

The fourth proportional to 7,062.24, 9,745.86 and 3,918.42 is: 5,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.24 : 9,745.86 = 3,918.42 : x
  2. Step 2: Convert to fraction form
    7,062.24/9,745.86 = 3,918.42/x
  3. Step 3: Cross multiply
    7,062.24x = 9,745.86 × 3,918.42
  4. Step 4: Simplify right side
    7,062.24x = 38,188,372.74
  5. Step 5: Solve for x
    x = 38,188,372.74/7,062.24
  6. Step 6: Final answer
    x = 5,407.40

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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.