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Finding the Fourth Proportional to 9,134.14, 13,702 and 2,560.30

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Solution

The fourth proportional to 9,134.14, 13,702 and 2,560.30 is: 3,840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.14 : 13,702 = 2,560.30 : x
  2. Step 2: Convert to fraction form
    9,134.14/13,702 = 2,560.30/x
  3. Step 3: Cross multiply
    9,134.14x = 13,702 × 2,560.30
  4. Step 4: Simplify right side
    9,134.14x = 35,081,230.60
  5. Step 5: Solve for x
    x = 35,081,230.60/9,134.14
  6. Step 6: Final answer
    x = 3,840.67

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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.