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Finding the Fourth Proportional to 11,797.86, 16,282.64 and 10,801.36

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Solution

The fourth proportional to 11,797.86, 16,282.64 and 10,801.36 is: 14,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.86 : 16,282.64 = 10,801.36 : x
  2. Step 2: Convert to fraction form
    11,797.86/16,282.64 = 10,801.36/x
  3. Step 3: Cross multiply
    11,797.86x = 16,282.64 × 10,801.36
  4. Step 4: Simplify right side
    11,797.86x = 175,874,656.39
  5. Step 5: Solve for x
    x = 175,874,656.39/11,797.86
  6. Step 6: Final answer
    x = 14,907.34

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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.