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Finding the Fourth Proportional to 11,770.92, 16,243.74 and 7,294.86

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Solution

The fourth proportional to 11,770.92, 16,243.74 and 7,294.86 is: 10,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.92 : 16,243.74 = 7,294.86 : x
  2. Step 2: Convert to fraction form
    11,770.92/16,243.74 = 7,294.86/x
  3. Step 3: Cross multiply
    11,770.92x = 16,243.74 × 7,294.86
  4. Step 4: Simplify right side
    11,770.92x = 118,495,809.18
  5. Step 5: Solve for x
    x = 118,495,809.18/11,770.92
  6. Step 6: Final answer
    x = 10,066.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.