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Finding the Fourth Proportional to 7,866.37, 11,764.69 and 6,994.98

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Solution

The fourth proportional to 7,866.37, 11,764.69 and 6,994.98 is: 10,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.37 : 11,764.69 = 6,994.98 : x
  2. Step 2: Convert to fraction form
    7,866.37/11,764.69 = 6,994.98/x
  3. Step 3: Cross multiply
    7,866.37x = 11,764.69 × 6,994.98
  4. Step 4: Simplify right side
    7,866.37x = 82,293,826.20
  5. Step 5: Solve for x
    x = 82,293,826.20/7,866.37
  6. Step 6: Final answer
    x = 10,461.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.