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Finding the Fourth Proportional to 27,360, 41,040 and 6,583.50

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Solution

The fourth proportional to 27,360, 41,040 and 6,583.50 is: 9,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,360 : 41,040 = 6,583.50 : x
  2. Step 2: Convert to fraction form
    27,360/41,040 = 6,583.50/x
  3. Step 3: Cross multiply
    27,360x = 41,040 × 6,583.50
  4. Step 4: Simplify right side
    27,360x = 270,186,840
  5. Step 5: Solve for x
    x = 270,186,840/27,360
  6. Step 6: Final answer
    x = 9,875.25

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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.