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Finding the Fourth Proportional to 10,838.66, 16,256.83 and 7,351.07

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Solution

The fourth proportional to 10,838.66, 16,256.83 and 7,351.07 is: 11,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.66 : 16,256.83 = 7,351.07 : x
  2. Step 2: Convert to fraction form
    10,838.66/16,256.83 = 7,351.07/x
  3. Step 3: Cross multiply
    10,838.66x = 16,256.83 × 7,351.07
  4. Step 4: Simplify right side
    10,838.66x = 119,505,095.31
  5. Step 5: Solve for x
    x = 119,505,095.31/10,838.66
  6. Step 6: Final answer
    x = 11,025.82

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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.