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Finding the Fourth Proportional to 7,776.70, 11,661.63 and 2,845.06

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Solution

The fourth proportional to 7,776.70, 11,661.63 and 2,845.06 is: 4,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.70 : 11,661.63 = 2,845.06 : x
  2. Step 2: Convert to fraction form
    7,776.70/11,661.63 = 2,845.06/x
  3. Step 3: Cross multiply
    7,776.70x = 11,661.63 × 2,845.06
  4. Step 4: Simplify right side
    7,776.70x = 33,178,037.05
  5. Step 5: Solve for x
    x = 33,178,037.05/7,776.70
  6. Step 6: Final answer
    x = 4,266.34

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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.