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Finding the Fourth Proportional to 11,614.08, 16,026.51 and 6,834.22

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Solution

The fourth proportional to 11,614.08, 16,026.51 and 6,834.22 is: 9,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.08 : 16,026.51 = 6,834.22 : x
  2. Step 2: Convert to fraction form
    11,614.08/16,026.51 = 6,834.22/x
  3. Step 3: Cross multiply
    11,614.08x = 16,026.51 × 6,834.22
  4. Step 4: Simplify right side
    11,614.08x = 109,528,732.44
  5. Step 5: Solve for x
    x = 109,528,732.44/11,614.08
  6. Step 6: Final answer
    x = 9,430.68

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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.