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Finding the Fourth Proportional to 10,626.52, 15,939.76 and 3,701

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Solution

The fourth proportional to 10,626.52, 15,939.76 and 3,701 is: 5,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.52 : 15,939.76 = 3,701 : x
  2. Step 2: Convert to fraction form
    10,626.52/15,939.76 = 3,701/x
  3. Step 3: Cross multiply
    10,626.52x = 15,939.76 × 3,701
  4. Step 4: Simplify right side
    10,626.52x = 58,993,051.76
  5. Step 5: Solve for x
    x = 58,993,051.76/10,626.52
  6. Step 6: Final answer
    x = 5,551.49

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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.