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Finding the Fourth Proportional to 3,138.09, 4,707.14 and 946.83

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Solution

The fourth proportional to 3,138.09, 4,707.14 and 946.83 is: 1,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.09 : 4,707.14 = 946.83 : x
  2. Step 2: Convert to fraction form
    3,138.09/4,707.14 = 946.83/x
  3. Step 3: Cross multiply
    3,138.09x = 4,707.14 × 946.83
  4. Step 4: Simplify right side
    3,138.09x = 4,456,856.63
  5. Step 5: Solve for x
    x = 4,456,856.63/3,138.09
  6. Step 6: Final answer
    x = 1,420.25

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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.