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Finding the Fourth Proportional to 7,735.98, 10,681.20 and 4,755.81

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Solution

The fourth proportional to 7,735.98, 10,681.20 and 4,755.81 is: 6,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.98 : 10,681.20 = 4,755.81 : x
  2. Step 2: Convert to fraction form
    7,735.98/10,681.20 = 4,755.81/x
  3. Step 3: Cross multiply
    7,735.98x = 10,681.20 × 4,755.81
  4. Step 4: Simplify right side
    7,735.98x = 50,797,757.77
  5. Step 5: Solve for x
    x = 50,797,757.77/7,735.98
  6. Step 6: Final answer
    x = 6,566.43

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1.5x scale

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.