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Finding the Fourth Proportional to 6,259.54, 9,386.27 and 3,138.20

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Solution

The fourth proportional to 6,259.54, 9,386.27 and 3,138.20 is: 4,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.54 : 9,386.27 = 3,138.20 : x
  2. Step 2: Convert to fraction form
    6,259.54/9,386.27 = 3,138.20/x
  3. Step 3: Cross multiply
    6,259.54x = 9,386.27 × 3,138.20
  4. Step 4: Simplify right side
    6,259.54x = 29,455,976.82
  5. Step 5: Solve for x
    x = 29,455,976.82/6,259.54
  6. Step 6: Final answer
    x = 4,705.78

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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.