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Finding the Fourth Proportional to 6,907.07, 9,531.86 and 3,763.26

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Solution

The fourth proportional to 6,907.07, 9,531.86 and 3,763.26 is: 5,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.07 : 9,531.86 = 3,763.26 : x
  2. Step 2: Convert to fraction form
    6,907.07/9,531.86 = 3,763.26/x
  3. Step 3: Cross multiply
    6,907.07x = 9,531.86 × 3,763.26
  4. Step 4: Simplify right side
    6,907.07x = 35,870,848.65
  5. Step 5: Solve for x
    x = 35,870,848.65/6,907.07
  6. Step 6: Final answer
    x = 5,193.36

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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.