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Finding the Fourth Proportional to 9,911.88, 13,676.58 and 5,934.51

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Solution

The fourth proportional to 9,911.88, 13,676.58 and 5,934.51 is: 8,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.88 : 13,676.58 = 5,934.51 : x
  2. Step 2: Convert to fraction form
    9,911.88/13,676.58 = 5,934.51/x
  3. Step 3: Cross multiply
    9,911.88x = 13,676.58 × 5,934.51
  4. Step 4: Simplify right side
    9,911.88x = 81,163,800.78
  5. Step 5: Solve for x
    x = 81,163,800.78/9,911.88
  6. Step 6: Final answer
    x = 8,188.54

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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.