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Finding the Fourth Proportional to 6,541.84, 9,813.44 and 2,097.95

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Solution

The fourth proportional to 6,541.84, 9,813.44 and 2,097.95 is: 3,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.84 : 9,813.44 = 2,097.95 : x
  2. Step 2: Convert to fraction form
    6,541.84/9,813.44 = 2,097.95/x
  3. Step 3: Cross multiply
    6,541.84x = 9,813.44 × 2,097.95
  4. Step 4: Simplify right side
    6,541.84x = 20,588,095.96
  5. Step 5: Solve for x
    x = 20,588,095.96/6,541.84
  6. Step 6: Final answer
    x = 3,147.14

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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.