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Finding the Fourth Proportional to 11,614.26, 16,026.93 and 6,579.54

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Solution

The fourth proportional to 11,614.26, 16,026.93 and 6,579.54 is: 9,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.26 : 16,026.93 = 6,579.54 : x
  2. Step 2: Convert to fraction form
    11,614.26/16,026.93 = 6,579.54/x
  3. Step 3: Cross multiply
    11,614.26x = 16,026.93 × 6,579.54
  4. Step 4: Simplify right side
    11,614.26x = 105,449,827.01
  5. Step 5: Solve for x
    x = 105,449,827.01/11,614.26
  6. Step 6: Final answer
    x = 9,079.34

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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.