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Finding the Fourth Proportional to 9,718.65, 13,420.62 and 6,183

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Solution

The fourth proportional to 9,718.65, 13,420.62 and 6,183 is: 8,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.65 : 13,420.62 = 6,183 : x
  2. Step 2: Convert to fraction form
    9,718.65/13,420.62 = 6,183/x
  3. Step 3: Cross multiply
    9,718.65x = 13,420.62 × 6,183
  4. Step 4: Simplify right side
    9,718.65x = 82,979,693.46
  5. Step 5: Solve for x
    x = 82,979,693.46/9,718.65
  6. Step 6: Final answer
    x = 8,538.19

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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.