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Finding the Fourth Proportional to 14,967, 20,654.21 and 8,253.24

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Solution

The fourth proportional to 14,967, 20,654.21 and 8,253.24 is: 11,389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967 : 20,654.21 = 8,253.24 : x
  2. Step 2: Convert to fraction form
    14,967/20,654.21 = 8,253.24/x
  3. Step 3: Cross multiply
    14,967x = 20,654.21 × 8,253.24
  4. Step 4: Simplify right side
    14,967x = 170,464,110.87
  5. Step 5: Solve for x
    x = 170,464,110.87/14,967
  6. Step 6: Final answer
    x = 11,389.33

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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.