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Finding the Fourth Proportional to 9,185.58, 12,676.10 and 4,993.82

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Solution

The fourth proportional to 9,185.58, 12,676.10 and 4,993.82 is: 6,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.58 : 12,676.10 = 4,993.82 : x
  2. Step 2: Convert to fraction form
    9,185.58/12,676.10 = 4,993.82/x
  3. Step 3: Cross multiply
    9,185.58x = 12,676.10 × 4,993.82
  4. Step 4: Simplify right side
    9,185.58x = 63,302,161.70
  5. Step 5: Solve for x
    x = 63,302,161.70/9,185.58
  6. Step 6: Final answer
    x = 6,891.47

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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.