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Finding the Fourth Proportional to 6,581.03, 9,874.26 and 3,460.28

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Solution

The fourth proportional to 6,581.03, 9,874.26 and 3,460.28 is: 5,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.03 : 9,874.26 = 3,460.28 : x
  2. Step 2: Convert to fraction form
    6,581.03/9,874.26 = 3,460.28/x
  3. Step 3: Cross multiply
    6,581.03x = 9,874.26 × 3,460.28
  4. Step 4: Simplify right side
    6,581.03x = 34,167,655.02
  5. Step 5: Solve for x
    x = 34,167,655.02/6,581.03
  6. Step 6: Final answer
    x = 5,191.84

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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.