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Finding the Fourth Proportional to 6,907.17, 9,531.91 and 3,923.01

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Solution

The fourth proportional to 6,907.17, 9,531.91 and 3,923.01 is: 5,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.17 : 9,531.91 = 3,923.01 : x
  2. Step 2: Convert to fraction form
    6,907.17/9,531.91 = 3,923.01/x
  3. Step 3: Cross multiply
    6,907.17x = 9,531.91 × 3,923.01
  4. Step 4: Simplify right side
    6,907.17x = 37,393,710.97
  5. Step 5: Solve for x
    x = 37,393,710.97/6,907.17
  6. Step 6: Final answer
    x = 5,413.75

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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.