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Finding the Fourth Proportional to 6,271.47, 8,652.66 and 3,914.98

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Solution

The fourth proportional to 6,271.47, 8,652.66 and 3,914.98 is: 5,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.47 : 8,652.66 = 3,914.98 : x
  2. Step 2: Convert to fraction form
    6,271.47/8,652.66 = 3,914.98/x
  3. Step 3: Cross multiply
    6,271.47x = 8,652.66 × 3,914.98
  4. Step 4: Simplify right side
    6,271.47x = 33,875,000.63
  5. Step 5: Solve for x
    x = 33,875,000.63/6,271.47
  6. Step 6: Final answer
    x = 5,401.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.