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Finding the Fourth Proportional to 11,102.94, 16,646.85 and 4,171.50

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Solution

The fourth proportional to 11,102.94, 16,646.85 and 4,171.50 is: 6,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.94 : 16,646.85 = 4,171.50 : x
  2. Step 2: Convert to fraction form
    11,102.94/16,646.85 = 4,171.50/x
  3. Step 3: Cross multiply
    11,102.94x = 16,646.85 × 4,171.50
  4. Step 4: Simplify right side
    11,102.94x = 69,442,334.78
  5. Step 5: Solve for x
    x = 69,442,334.78/11,102.94
  6. Step 6: Final answer
    x = 6,254.41

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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.