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Finding the Fourth Proportional to 11,916.96, 17,874.48 and 4,894.96

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Solution

The fourth proportional to 11,916.96, 17,874.48 and 4,894.96 is: 7,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.96 : 17,874.48 = 4,894.96 : x
  2. Step 2: Convert to fraction form
    11,916.96/17,874.48 = 4,894.96/x
  3. Step 3: Cross multiply
    11,916.96x = 17,874.48 × 4,894.96
  4. Step 4: Simplify right side
    11,916.96x = 87,494,864.62
  5. Step 5: Solve for x
    x = 87,494,864.62/11,916.96
  6. Step 6: Final answer
    x = 7,342.05

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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.