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Finding the Fourth Proportional to 11,775.92, 16,246.16 and 6,737.44

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Solution

The fourth proportional to 11,775.92, 16,246.16 and 6,737.44 is: 9,295.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.92 : 16,246.16 = 6,737.44 : x
  2. Step 2: Convert to fraction form
    11,775.92/16,246.16 = 6,737.44/x
  3. Step 3: Cross multiply
    11,775.92x = 16,246.16 × 6,737.44
  4. Step 4: Simplify right side
    11,775.92x = 109,457,528.23
  5. Step 5: Solve for x
    x = 109,457,528.23/11,775.92
  6. Step 6: Final answer
    x = 9,295.03

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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.