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Finding the Fourth Proportional to 7,129.64, 10,695 and 1,935.56

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Solution

The fourth proportional to 7,129.64, 10,695 and 1,935.56 is: 2,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.64 : 10,695 = 1,935.56 : x
  2. Step 2: Convert to fraction form
    7,129.64/10,695 = 1,935.56/x
  3. Step 3: Cross multiply
    7,129.64x = 10,695 × 1,935.56
  4. Step 4: Simplify right side
    7,129.64x = 20,700,814.20
  5. Step 5: Solve for x
    x = 20,700,814.20/7,129.64
  6. Step 6: Final answer
    x = 2,903.49

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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.