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Finding the Fourth Proportional to 7,183, 9,912.54 and 4,699

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Solution

The fourth proportional to 7,183, 9,912.54 and 4,699 is: 6,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183 : 9,912.54 = 4,699 : x
  2. Step 2: Convert to fraction form
    7,183/9,912.54 = 4,699/x
  3. Step 3: Cross multiply
    7,183x = 9,912.54 × 4,699
  4. Step 4: Simplify right side
    7,183x = 46,579,025.46
  5. Step 5: Solve for x
    x = 46,579,025.46/7,183
  6. Step 6: Final answer
    x = 6,484.62

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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.