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Finding the Fourth Proportional to 5,410.14, 8,116.14 and 1,712.31

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Solution

The fourth proportional to 5,410.14, 8,116.14 and 1,712.31 is: 2,568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.14 : 8,116.14 = 1,712.31 : x
  2. Step 2: Convert to fraction form
    5,410.14/8,116.14 = 1,712.31/x
  3. Step 3: Cross multiply
    5,410.14x = 8,116.14 × 1,712.31
  4. Step 4: Simplify right side
    5,410.14x = 13,897,347.68
  5. Step 5: Solve for x
    x = 13,897,347.68/5,410.14
  6. Step 6: Final answer
    x = 2,568.76

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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.