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Finding the Fourth Proportional to 6,484.93, 9,711.80 and 3,703.17

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Solution

The fourth proportional to 6,484.93, 9,711.80 and 3,703.17 is: 5,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.93 : 9,711.80 = 3,703.17 : x
  2. Step 2: Convert to fraction form
    6,484.93/9,711.80 = 3,703.17/x
  3. Step 3: Cross multiply
    6,484.93x = 9,711.80 × 3,703.17
  4. Step 4: Simplify right side
    6,484.93x = 35,964,379.33
  5. Step 5: Solve for x
    x = 35,964,379.33/6,484.93
  6. Step 6: Final answer
    x = 5,545.84

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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.