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Finding the Fourth Proportional to 6,151.58, 9,207.30 and 4,682.63

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Solution

The fourth proportional to 6,151.58, 9,207.30 and 4,682.63 is: 7,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.58 : 9,207.30 = 4,682.63 : x
  2. Step 2: Convert to fraction form
    6,151.58/9,207.30 = 4,682.63/x
  3. Step 3: Cross multiply
    6,151.58x = 9,207.30 × 4,682.63
  4. Step 4: Simplify right side
    6,151.58x = 43,114,379.20
  5. Step 5: Solve for x
    x = 43,114,379.20/6,151.58
  6. Step 6: Final answer
    x = 7,008.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.