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Finding the Fourth Proportional to 10,291, 14,205.06 and 6,413.44

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Solution

The fourth proportional to 10,291, 14,205.06 and 6,413.44 is: 8,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291 : 14,205.06 = 6,413.44 : x
  2. Step 2: Convert to fraction form
    10,291/14,205.06 = 6,413.44/x
  3. Step 3: Cross multiply
    10,291x = 14,205.06 × 6,413.44
  4. Step 4: Simplify right side
    10,291x = 91,103,300.01
  5. Step 5: Solve for x
    x = 91,103,300.01/10,291
  6. Step 6: Final answer
    x = 8,852.72

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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.