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Finding the Fourth Proportional to 9,495.43, 14,261.60 and 7,741.71

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Solution

The fourth proportional to 9,495.43, 14,261.60 and 7,741.71 is: 11,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.43 : 14,261.60 = 7,741.71 : x
  2. Step 2: Convert to fraction form
    9,495.43/14,261.60 = 7,741.71/x
  3. Step 3: Cross multiply
    9,495.43x = 14,261.60 × 7,741.71
  4. Step 4: Simplify right side
    9,495.43x = 110,409,190.69
  5. Step 5: Solve for x
    x = 110,409,190.69/9,495.43
  6. Step 6: Final answer
    x = 11,627.62

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1.5x scale

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.