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Finding the Fourth Proportional to 9,760.70, 14,640.59 and 6,790.37

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Solution

The fourth proportional to 9,760.70, 14,640.59 and 6,790.37 is: 10,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.70 : 14,640.59 = 6,790.37 : x
  2. Step 2: Convert to fraction form
    9,760.70/14,640.59 = 6,790.37/x
  3. Step 3: Cross multiply
    9,760.70x = 14,640.59 × 6,790.37
  4. Step 4: Simplify right side
    9,760.70x = 99,414,966.89
  5. Step 5: Solve for x
    x = 99,414,966.89/9,760.70
  6. Step 6: Final answer
    x = 10,185.23

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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.