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Finding the Fourth Proportional to 7,737, 10,677.06 and 4,425.64

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Solution

The fourth proportional to 7,737, 10,677.06 and 4,425.64 is: 6,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737 : 10,677.06 = 4,425.64 : x
  2. Step 2: Convert to fraction form
    7,737/10,677.06 = 4,425.64/x
  3. Step 3: Cross multiply
    7,737x = 10,677.06 × 4,425.64
  4. Step 4: Simplify right side
    7,737x = 47,252,823.82
  5. Step 5: Solve for x
    x = 47,252,823.82/7,737
  6. Step 6: Final answer
    x = 6,107.38

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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.