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Finding the Fourth Proportional to 11,851.92, 16,349.64 and 7,376.40

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Solution

The fourth proportional to 11,851.92, 16,349.64 and 7,376.40 is: 10,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.92 : 16,349.64 = 7,376.40 : x
  2. Step 2: Convert to fraction form
    11,851.92/16,349.64 = 7,376.40/x
  3. Step 3: Cross multiply
    11,851.92x = 16,349.64 × 7,376.40
  4. Step 4: Simplify right side
    11,851.92x = 120,601,484.50
  5. Step 5: Solve for x
    x = 120,601,484.50/11,851.92
  6. Step 6: Final answer
    x = 10,175.69

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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.