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Finding the Fourth Proportional to 6,894.84, 10,345.14 and 3,606.96

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Solution

The fourth proportional to 6,894.84, 10,345.14 and 3,606.96 is: 5,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.84 : 10,345.14 = 3,606.96 : x
  2. Step 2: Convert to fraction form
    6,894.84/10,345.14 = 3,606.96/x
  3. Step 3: Cross multiply
    6,894.84x = 10,345.14 × 3,606.96
  4. Step 4: Simplify right side
    6,894.84x = 37,314,506.17
  5. Step 5: Solve for x
    x = 37,314,506.17/6,894.84
  6. Step 6: Final answer
    x = 5,411.95

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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.