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Finding the Fourth Proportional to 14,614.51, 20,165.46 and 8,644

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Solution

The fourth proportional to 14,614.51, 20,165.46 and 8,644 is: 11,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.51 : 20,165.46 = 8,644 : x
  2. Step 2: Convert to fraction form
    14,614.51/20,165.46 = 8,644/x
  3. Step 3: Cross multiply
    14,614.51x = 20,165.46 × 8,644
  4. Step 4: Simplify right side
    14,614.51x = 174,310,236.24
  5. Step 5: Solve for x
    x = 174,310,236.24/14,614.51
  6. Step 6: Final answer
    x = 11,927.20

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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.