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Finding the Fourth Proportional to 11,802.94, 16,285.11 and 7,494.46

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Solution

The fourth proportional to 11,802.94, 16,285.11 and 7,494.46 is: 10,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.94 : 16,285.11 = 7,494.46 : x
  2. Step 2: Convert to fraction form
    11,802.94/16,285.11 = 7,494.46/x
  3. Step 3: Cross multiply
    11,802.94x = 16,285.11 × 7,494.46
  4. Step 4: Simplify right side
    11,802.94x = 122,048,105.49
  5. Step 5: Solve for x
    x = 122,048,105.49/11,802.94
  6. Step 6: Final answer
    x = 10,340.48

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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.