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Finding the Fourth Proportional to 27,362, 41,043 and 6,585.50

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Solution

The fourth proportional to 27,362, 41,043 and 6,585.50 is: 9,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,362 : 41,043 = 6,585.50 : x
  2. Step 2: Convert to fraction form
    27,362/41,043 = 6,585.50/x
  3. Step 3: Cross multiply
    27,362x = 41,043 × 6,585.50
  4. Step 4: Simplify right side
    27,362x = 270,288,676.50
  5. Step 5: Solve for x
    x = 270,288,676.50/27,362
  6. Step 6: Final answer
    x = 9,878.25

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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.