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Finding the Fourth Proportional to 10,466.62, 15,702.24 and 3,448.80

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Solution

The fourth proportional to 10,466.62, 15,702.24 and 3,448.80 is: 5,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.62 : 15,702.24 = 3,448.80 : x
  2. Step 2: Convert to fraction form
    10,466.62/15,702.24 = 3,448.80/x
  3. Step 3: Cross multiply
    10,466.62x = 15,702.24 × 3,448.80
  4. Step 4: Simplify right side
    10,466.62x = 54,153,898.25
  5. Step 5: Solve for x
    x = 54,153,898.25/10,466.62
  6. Step 6: Final answer
    x = 5,173.96

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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.