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Finding the Fourth Proportional to 7,165.66, 10,749.17 and 2,783.46

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Solution

The fourth proportional to 7,165.66, 10,749.17 and 2,783.46 is: 4,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.66 : 10,749.17 = 2,783.46 : x
  2. Step 2: Convert to fraction form
    7,165.66/10,749.17 = 2,783.46/x
  3. Step 3: Cross multiply
    7,165.66x = 10,749.17 × 2,783.46
  4. Step 4: Simplify right side
    7,165.66x = 29,919,884.73
  5. Step 5: Solve for x
    x = 29,919,884.73/7,165.66
  6. Step 6: Final answer
    x = 4,175.45

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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.