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Finding the Fourth Proportional to 7,076.70, 9,767.10 and 4,092.06

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Solution

The fourth proportional to 7,076.70, 9,767.10 and 4,092.06 is: 5,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.70 : 9,767.10 = 4,092.06 : x
  2. Step 2: Convert to fraction form
    7,076.70/9,767.10 = 4,092.06/x
  3. Step 3: Cross multiply
    7,076.70x = 9,767.10 × 4,092.06
  4. Step 4: Simplify right side
    7,076.70x = 39,967,559.23
  5. Step 5: Solve for x
    x = 39,967,559.23/7,076.70
  6. Step 6: Final answer
    x = 5,647.77

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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.