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Finding the Fourth Proportional to 7,894.99, 10,900.37 and 6,016.22

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Solution

The fourth proportional to 7,894.99, 10,900.37 and 6,016.22 is: 8,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.99 : 10,900.37 = 6,016.22 : x
  2. Step 2: Convert to fraction form
    7,894.99/10,900.37 = 6,016.22/x
  3. Step 3: Cross multiply
    7,894.99x = 10,900.37 × 6,016.22
  4. Step 4: Simplify right side
    7,894.99x = 65,579,086.73
  5. Step 5: Solve for x
    x = 65,579,086.73/7,894.99
  6. Step 6: Final answer
    x = 8,306.41

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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.