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Finding the Fourth Proportional to 6,138.56, 9,262.74 and 6,138.56

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Solution

The fourth proportional to 6,138.56, 9,262.74 and 6,138.56 is: 9,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.56 : 9,262.74 = 6,138.56 : x
  2. Step 2: Convert to fraction form
    6,138.56/9,262.74 = 6,138.56/x
  3. Step 3: Cross multiply
    6,138.56x = 9,262.74 × 6,138.56
  4. Step 4: Simplify right side
    6,138.56x = 56,859,885.25
  5. Step 5: Solve for x
    x = 56,859,885.25/6,138.56
  6. Step 6: Final answer
    x = 9,262.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.