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Finding the Fourth Proportional to 27,643, 41,470.98 and 9,175

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Solution

The fourth proportional to 27,643, 41,470.98 and 9,175 is: 13,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643 : 41,470.98 = 9,175 : x
  2. Step 2: Convert to fraction form
    27,643/41,470.98 = 9,175/x
  3. Step 3: Cross multiply
    27,643x = 41,470.98 × 9,175
  4. Step 4: Simplify right side
    27,643x = 380,496,241.50
  5. Step 5: Solve for x
    x = 380,496,241.50/27,643
  6. Step 6: Final answer
    x = 13,764.65

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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.