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Finding the Fourth Proportional to 10,727.63, 14,807.37 and 6,951

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Solution

The fourth proportional to 10,727.63, 14,807.37 and 6,951 is: 9,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.63 : 14,807.37 = 6,951 : x
  2. Step 2: Convert to fraction form
    10,727.63/14,807.37 = 6,951/x
  3. Step 3: Cross multiply
    10,727.63x = 14,807.37 × 6,951
  4. Step 4: Simplify right side
    10,727.63x = 102,926,028.87
  5. Step 5: Solve for x
    x = 102,926,028.87/10,727.63
  6. Step 6: Final answer
    x = 9,594.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.