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Finding the Fourth Proportional to 9,164.48, 13,748.64 and 3,008

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Solution

The fourth proportional to 9,164.48, 13,748.64 and 3,008 is: 4,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.48 : 13,748.64 = 3,008 : x
  2. Step 2: Convert to fraction form
    9,164.48/13,748.64 = 3,008/x
  3. Step 3: Cross multiply
    9,164.48x = 13,748.64 × 3,008
  4. Step 4: Simplify right side
    9,164.48x = 41,355,909.12
  5. Step 5: Solve for x
    x = 41,355,909.12/9,164.48
  6. Step 6: Final answer
    x = 4,512.63

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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.