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Finding the Fourth Proportional to 6,586.34, 9,874.04 and 3,074.54

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Solution

The fourth proportional to 6,586.34, 9,874.04 and 3,074.54 is: 4,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.34 : 9,874.04 = 3,074.54 : x
  2. Step 2: Convert to fraction form
    6,586.34/9,874.04 = 3,074.54/x
  3. Step 3: Cross multiply
    6,586.34x = 9,874.04 × 3,074.54
  4. Step 4: Simplify right side
    6,586.34x = 30,358,066.20
  5. Step 5: Solve for x
    x = 30,358,066.20/6,586.34
  6. Step 6: Final answer
    x = 4,609.25

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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.