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Finding the Fourth Proportional to 7,684, 10,604.66 and 5,032.84

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Solution

The fourth proportional to 7,684, 10,604.66 and 5,032.84 is: 6,945.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684 : 10,604.66 = 5,032.84 : x
  2. Step 2: Convert to fraction form
    7,684/10,604.66 = 5,032.84/x
  3. Step 3: Cross multiply
    7,684x = 10,604.66 × 5,032.84
  4. Step 4: Simplify right side
    7,684x = 53,371,557.03
  5. Step 5: Solve for x
    x = 53,371,557.03/7,684
  6. Step 6: Final answer
    x = 6,945.80

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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.