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Finding the Fourth Proportional to 7,706.41, 11,548.41 and 6,139.33

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Solution

The fourth proportional to 7,706.41, 11,548.41 and 6,139.33 is: 9,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.41 : 11,548.41 = 6,139.33 : x
  2. Step 2: Convert to fraction form
    7,706.41/11,548.41 = 6,139.33/x
  3. Step 3: Cross multiply
    7,706.41x = 11,548.41 × 6,139.33
  4. Step 4: Simplify right side
    7,706.41x = 70,899,499.97
  5. Step 5: Solve for x
    x = 70,899,499.97/7,706.41
  6. Step 6: Final answer
    x = 9,200.07

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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.