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Finding the Fourth Proportional to 6,902.70, 9,526.60 and 3,919.51

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Solution

The fourth proportional to 6,902.70, 9,526.60 and 3,919.51 is: 5,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.70 : 9,526.60 = 3,919.51 : x
  2. Step 2: Convert to fraction form
    6,902.70/9,526.60 = 3,919.51/x
  3. Step 3: Cross multiply
    6,902.70x = 9,526.60 × 3,919.51
  4. Step 4: Simplify right side
    6,902.70x = 37,339,603.97
  5. Step 5: Solve for x
    x = 37,339,603.97/6,902.70
  6. Step 6: Final answer
    x = 5,409.42

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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.