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Finding the Fourth Proportional to 6,677.50, 10,014.12 and 2,293.90

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Solution

The fourth proportional to 6,677.50, 10,014.12 and 2,293.90 is: 3,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.50 : 10,014.12 = 2,293.90 : x
  2. Step 2: Convert to fraction form
    6,677.50/10,014.12 = 2,293.90/x
  3. Step 3: Cross multiply
    6,677.50x = 10,014.12 × 2,293.90
  4. Step 4: Simplify right side
    6,677.50x = 22,971,389.87
  5. Step 5: Solve for x
    x = 22,971,389.87/6,677.50
  6. Step 6: Final answer
    x = 3,440.12

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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.