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Finding the Fourth Proportional to 7,706.89, 11,535.30 and 4,003.84

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Solution

The fourth proportional to 7,706.89, 11,535.30 and 4,003.84 is: 5,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.89 : 11,535.30 = 4,003.84 : x
  2. Step 2: Convert to fraction form
    7,706.89/11,535.30 = 4,003.84/x
  3. Step 3: Cross multiply
    7,706.89x = 11,535.30 × 4,003.84
  4. Step 4: Simplify right side
    7,706.89x = 46,185,495.55
  5. Step 5: Solve for x
    x = 46,185,495.55/7,706.89
  6. Step 6: Final answer
    x = 5,992.75

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1.5x scale

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.