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Finding the Fourth Proportional to 9,644.58, 14,466.96 and 3,488.58

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Solution

The fourth proportional to 9,644.58, 14,466.96 and 3,488.58 is: 5,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.58 : 14,466.96 = 3,488.58 : x
  2. Step 2: Convert to fraction form
    9,644.58/14,466.96 = 3,488.58/x
  3. Step 3: Cross multiply
    9,644.58x = 14,466.96 × 3,488.58
  4. Step 4: Simplify right side
    9,644.58x = 50,469,147.32
  5. Step 5: Solve for x
    x = 50,469,147.32/9,644.58
  6. Step 6: Final answer
    x = 5,232.90

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1.5x scale

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.