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Finding the Fourth Proportional to 6,446.63, 9,670.86 and 2,445.48

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Solution

The fourth proportional to 6,446.63, 9,670.86 and 2,445.48 is: 3,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.63 : 9,670.86 = 2,445.48 : x
  2. Step 2: Convert to fraction form
    6,446.63/9,670.86 = 2,445.48/x
  3. Step 3: Cross multiply
    6,446.63x = 9,670.86 × 2,445.48
  4. Step 4: Simplify right side
    6,446.63x = 23,649,894.71
  5. Step 5: Solve for x
    x = 23,649,894.71/6,446.63
  6. Step 6: Final answer
    x = 3,668.57

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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.