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Finding the Fourth Proportional to 7,973.67, 11,967.80 and 6,118.77

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Solution

The fourth proportional to 7,973.67, 11,967.80 and 6,118.77 is: 9,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.67 : 11,967.80 = 6,118.77 : x
  2. Step 2: Convert to fraction form
    7,973.67/11,967.80 = 6,118.77/x
  3. Step 3: Cross multiply
    7,973.67x = 11,967.80 × 6,118.77
  4. Step 4: Simplify right side
    7,973.67x = 73,228,185.01
  5. Step 5: Solve for x
    x = 73,228,185.01/7,973.67
  6. Step 6: Final answer
    x = 9,183.75

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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.