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Finding the Fourth Proportional to 10,469.16, 15,703.74 and 3,897

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Solution

The fourth proportional to 10,469.16, 15,703.74 and 3,897 is: 5,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.16 : 15,703.74 = 3,897 : x
  2. Step 2: Convert to fraction form
    10,469.16/15,703.74 = 3,897/x
  3. Step 3: Cross multiply
    10,469.16x = 15,703.74 × 3,897
  4. Step 4: Simplify right side
    10,469.16x = 61,197,474.78
  5. Step 5: Solve for x
    x = 61,197,474.78/10,469.16
  6. Step 6: Final answer
    x = 5,845.50

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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.