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Finding the Fourth Proportional to 7,735.65, 11,652.77 and 7,063.15

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Solution

The fourth proportional to 7,735.65, 11,652.77 and 7,063.15 is: 10,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.65 : 11,652.77 = 7,063.15 : x
  2. Step 2: Convert to fraction form
    7,735.65/11,652.77 = 7,063.15/x
  3. Step 3: Cross multiply
    7,735.65x = 11,652.77 × 7,063.15
  4. Step 4: Simplify right side
    7,735.65x = 82,305,197.98
  5. Step 5: Solve for x
    x = 82,305,197.98/7,735.65
  6. Step 6: Final answer
    x = 10,639.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.