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Finding the Fourth Proportional to 9,160.86, 13,741.02 and 7,924.62

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Solution

The fourth proportional to 9,160.86, 13,741.02 and 7,924.62 is: 11,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.86 : 13,741.02 = 7,924.62 : x
  2. Step 2: Convert to fraction form
    9,160.86/13,741.02 = 7,924.62/x
  3. Step 3: Cross multiply
    9,160.86x = 13,741.02 × 7,924.62
  4. Step 4: Simplify right side
    9,160.86x = 108,892,361.91
  5. Step 5: Solve for x
    x = 108,892,361.91/9,160.86
  6. Step 6: Final answer
    x = 11,886.70

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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.