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Finding the Fourth Proportional to 7,782.80, 11,674.94 and 3,101.68

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Solution

The fourth proportional to 7,782.80, 11,674.94 and 3,101.68 is: 4,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.80 : 11,674.94 = 3,101.68 : x
  2. Step 2: Convert to fraction form
    7,782.80/11,674.94 = 3,101.68/x
  3. Step 3: Cross multiply
    7,782.80x = 11,674.94 × 3,101.68
  4. Step 4: Simplify right side
    7,782.80x = 36,211,927.90
  5. Step 5: Solve for x
    x = 36,211,927.90/7,782.80
  6. Step 6: Final answer
    x = 4,652.81

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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.