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Finding the Fourth Proportional to 6,486.56, 9,733.55 and 2,538.15

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Solution

The fourth proportional to 6,486.56, 9,733.55 and 2,538.15 is: 3,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.56 : 9,733.55 = 2,538.15 : x
  2. Step 2: Convert to fraction form
    6,486.56/9,733.55 = 2,538.15/x
  3. Step 3: Cross multiply
    6,486.56x = 9,733.55 × 2,538.15
  4. Step 4: Simplify right side
    6,486.56x = 24,705,175.02
  5. Step 5: Solve for x
    x = 24,705,175.02/6,486.56
  6. Step 6: Final answer
    x = 3,808.67

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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.