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Finding the Fourth Proportional to 6,484.71, 9,727.07 and 1,804.71

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Solution

The fourth proportional to 6,484.71, 9,727.07 and 1,804.71 is: 2,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.71 : 9,727.07 = 1,804.71 : x
  2. Step 2: Convert to fraction form
    6,484.71/9,727.07 = 1,804.71/x
  3. Step 3: Cross multiply
    6,484.71x = 9,727.07 × 1,804.71
  4. Step 4: Simplify right side
    6,484.71x = 17,554,540.50
  5. Step 5: Solve for x
    x = 17,554,540.50/6,484.71
  6. Step 6: Final answer
    x = 2,707.07

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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.