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Finding the Fourth Proportional to 7,706, 10,633.50 and 4,348.48

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Solution

The fourth proportional to 7,706, 10,633.50 and 4,348.48 is: 6,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706 : 10,633.50 = 4,348.48 : x
  2. Step 2: Convert to fraction form
    7,706/10,633.50 = 4,348.48/x
  3. Step 3: Cross multiply
    7,706x = 10,633.50 × 4,348.48
  4. Step 4: Simplify right side
    7,706x = 46,239,562.08
  5. Step 5: Solve for x
    x = 46,239,562.08/7,706
  6. Step 6: Final answer
    x = 6,000.46

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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.