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Finding the Fourth Proportional to 14,797, 20,427.06 and 9,764.44

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Solution

The fourth proportional to 14,797, 20,427.06 and 9,764.44 is: 13,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797 : 20,427.06 = 9,764.44 : x
  2. Step 2: Convert to fraction form
    14,797/20,427.06 = 9,764.44/x
  3. Step 3: Cross multiply
    14,797x = 20,427.06 × 9,764.44
  4. Step 4: Simplify right side
    14,797x = 199,458,801.75
  5. Step 5: Solve for x
    x = 199,458,801.75/14,797
  6. Step 6: Final answer
    x = 13,479.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.