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Finding the Fourth Proportional to 10,623, 15,935.34 and 3,697.50

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Solution

The fourth proportional to 10,623, 15,935.34 and 3,697.50 is: 5,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623 : 15,935.34 = 3,697.50 : x
  2. Step 2: Convert to fraction form
    10,623/15,935.34 = 3,697.50/x
  3. Step 3: Cross multiply
    10,623x = 15,935.34 × 3,697.50
  4. Step 4: Simplify right side
    10,623x = 58,920,919.65
  5. Step 5: Solve for x
    x = 58,920,919.65/10,623
  6. Step 6: Final answer
    x = 5,546.54

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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.