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Finding the Fourth Proportional to 18,364, 27,546.26 and 4,513

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Solution

The fourth proportional to 18,364, 27,546.26 and 4,513 is: 6,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,364 : 27,546.26 = 4,513 : x
  2. Step 2: Convert to fraction form
    18,364/27,546.26 = 4,513/x
  3. Step 3: Cross multiply
    18,364x = 27,546.26 × 4,513
  4. Step 4: Simplify right side
    18,364x = 124,316,271.38
  5. Step 5: Solve for x
    x = 124,316,271.38/18,364
  6. Step 6: Final answer
    x = 6,769.56

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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.