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Finding the Fourth Proportional to 11,392.85, 15,715.82 and 6,676.22

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Solution

The fourth proportional to 11,392.85, 15,715.82 and 6,676.22 is: 9,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.85 : 15,715.82 = 6,676.22 : x
  2. Step 2: Convert to fraction form
    11,392.85/15,715.82 = 6,676.22/x
  3. Step 3: Cross multiply
    11,392.85x = 15,715.82 × 6,676.22
  4. Step 4: Simplify right side
    11,392.85x = 104,922,238.42
  5. Step 5: Solve for x
    x = 104,922,238.42/11,392.85
  6. Step 6: Final answer
    x = 9,209.48

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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.