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Finding the Fourth Proportional to 6,520.14, 9,781.65 and 1,903.50

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Solution

The fourth proportional to 6,520.14, 9,781.65 and 1,903.50 is: 2,855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.14 : 9,781.65 = 1,903.50 : x
  2. Step 2: Convert to fraction form
    6,520.14/9,781.65 = 1,903.50/x
  3. Step 3: Cross multiply
    6,520.14x = 9,781.65 × 1,903.50
  4. Step 4: Simplify right side
    6,520.14x = 18,619,370.78
  5. Step 5: Solve for x
    x = 18,619,370.78/6,520.14
  6. Step 6: Final answer
    x = 2,855.67

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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.