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Finding the Fourth Proportional to 7,967.74, 11,933.07 and 7,690.90

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Solution

The fourth proportional to 7,967.74, 11,933.07 and 7,690.90 is: 11,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.74 : 11,933.07 = 7,690.90 : x
  2. Step 2: Convert to fraction form
    7,967.74/11,933.07 = 7,690.90/x
  3. Step 3: Cross multiply
    7,967.74x = 11,933.07 × 7,690.90
  4. Step 4: Simplify right side
    7,967.74x = 91,776,048.06
  5. Step 5: Solve for x
    x = 91,776,048.06/7,967.74
  6. Step 6: Final answer
    x = 11,518.45

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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.