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Finding the Fourth Proportional to 11,646.72, 17,470.22 and 3,855.60

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Solution

The fourth proportional to 11,646.72, 17,470.22 and 3,855.60 is: 5,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.72 : 17,470.22 = 3,855.60 : x
  2. Step 2: Convert to fraction form
    11,646.72/17,470.22 = 3,855.60/x
  3. Step 3: Cross multiply
    11,646.72x = 17,470.22 × 3,855.60
  4. Step 4: Simplify right side
    11,646.72x = 67,358,160.95
  5. Step 5: Solve for x
    x = 67,358,160.95/11,646.72
  6. Step 6: Final answer
    x = 5,783.44

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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.