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Finding the Fourth Proportional to 7,700.60, 11,550.80 and 1,857.16

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Solution

The fourth proportional to 7,700.60, 11,550.80 and 1,857.16 is: 2,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.60 : 11,550.80 = 1,857.16 : x
  2. Step 2: Convert to fraction form
    7,700.60/11,550.80 = 1,857.16/x
  3. Step 3: Cross multiply
    7,700.60x = 11,550.80 × 1,857.16
  4. Step 4: Simplify right side
    7,700.60x = 21,451,674.44
  5. Step 5: Solve for x
    x = 21,451,674.44/7,700.60
  6. Step 6: Final answer
    x = 2,785.71

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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.