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Finding the Fourth Proportional to 4,009.96, 6,014.74 and 1,412.68

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Solution

The fourth proportional to 4,009.96, 6,014.74 and 1,412.68 is: 2,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.96 : 6,014.74 = 1,412.68 : x
  2. Step 2: Convert to fraction form
    4,009.96/6,014.74 = 1,412.68/x
  3. Step 3: Cross multiply
    4,009.96x = 6,014.74 × 1,412.68
  4. Step 4: Simplify right side
    4,009.96x = 8,496,902.90
  5. Step 5: Solve for x
    x = 8,496,902.90/4,009.96
  6. Step 6: Final answer
    x = 2,118.95

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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.