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Finding the Fourth Proportional to 10,271.03, 14,174.21 and 6,025.15

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Solution

The fourth proportional to 10,271.03, 14,174.21 and 6,025.15 is: 8,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.03 : 14,174.21 = 6,025.15 : x
  2. Step 2: Convert to fraction form
    10,271.03/14,174.21 = 6,025.15/x
  3. Step 3: Cross multiply
    10,271.03x = 14,174.21 × 6,025.15
  4. Step 4: Simplify right side
    10,271.03x = 85,401,741.38
  5. Step 5: Solve for x
    x = 85,401,741.38/10,271.03
  6. Step 6: Final answer
    x = 8,314.82

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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.