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Finding the Fourth Proportional to 6,931.32, 10,401.08 and 2,551.86

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Solution

The fourth proportional to 6,931.32, 10,401.08 and 2,551.86 is: 3,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.32 : 10,401.08 = 2,551.86 : x
  2. Step 2: Convert to fraction form
    6,931.32/10,401.08 = 2,551.86/x
  3. Step 3: Cross multiply
    6,931.32x = 10,401.08 × 2,551.86
  4. Step 4: Simplify right side
    6,931.32x = 26,542,100.01
  5. Step 5: Solve for x
    x = 26,542,100.01/6,931.32
  6. Step 6: Final answer
    x = 3,829.30

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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.