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Finding the Fourth Proportional to 11,741.76, 17,612.64 and 6,269.76

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Solution

The fourth proportional to 11,741.76, 17,612.64 and 6,269.76 is: 9,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.76 : 17,612.64 = 6,269.76 : x
  2. Step 2: Convert to fraction form
    11,741.76/17,612.64 = 6,269.76/x
  3. Step 3: Cross multiply
    11,741.76x = 17,612.64 × 6,269.76
  4. Step 4: Simplify right side
    11,741.76x = 110,427,025.77
  5. Step 5: Solve for x
    x = 110,427,025.77/11,741.76
  6. Step 6: Final answer
    x = 9,404.64

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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.