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Finding the Fourth Proportional to 7,767.94, 11,706.58 and 7,028.54

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Solution

The fourth proportional to 7,767.94, 11,706.58 and 7,028.54 is: 10,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.94 : 11,706.58 = 7,028.54 : x
  2. Step 2: Convert to fraction form
    7,767.94/11,706.58 = 7,028.54/x
  3. Step 3: Cross multiply
    7,767.94x = 11,706.58 × 7,028.54
  4. Step 4: Simplify right side
    7,767.94x = 82,280,177.49
  5. Step 5: Solve for x
    x = 82,280,177.49/7,767.94
  6. Step 6: Final answer
    x = 10,592.28

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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.