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Finding the Fourth Proportional to 7,076.80, 9,766.05 and 3,890.26

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Solution

The fourth proportional to 7,076.80, 9,766.05 and 3,890.26 is: 5,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.80 : 9,766.05 = 3,890.26 : x
  2. Step 2: Convert to fraction form
    7,076.80/9,766.05 = 3,890.26/x
  3. Step 3: Cross multiply
    7,076.80x = 9,766.05 × 3,890.26
  4. Step 4: Simplify right side
    7,076.80x = 37,992,424.84
  5. Step 5: Solve for x
    x = 37,992,424.84/7,076.80
  6. Step 6: Final answer
    x = 5,368.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.