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Finding the Fourth Proportional to 11,200.88, 16,801.32 and 3,409.63

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Solution

The fourth proportional to 11,200.88, 16,801.32 and 3,409.63 is: 5,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.88 : 16,801.32 = 3,409.63 : x
  2. Step 2: Convert to fraction form
    11,200.88/16,801.32 = 3,409.63/x
  3. Step 3: Cross multiply
    11,200.88x = 16,801.32 × 3,409.63
  4. Step 4: Simplify right side
    11,200.88x = 57,286,284.71
  5. Step 5: Solve for x
    x = 57,286,284.71/11,200.88
  6. Step 6: Final answer
    x = 5,114.45

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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.