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Finding the Fourth Proportional to 9,867, 14,802.84 and 2,941.68

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Solution

The fourth proportional to 9,867, 14,802.84 and 2,941.68 is: 4,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867 : 14,802.84 = 2,941.68 : x
  2. Step 2: Convert to fraction form
    9,867/14,802.84 = 2,941.68/x
  3. Step 3: Cross multiply
    9,867x = 14,802.84 × 2,941.68
  4. Step 4: Simplify right side
    9,867x = 43,545,218.37
  5. Step 5: Solve for x
    x = 43,545,218.37/9,867
  6. Step 6: Final answer
    x = 4,413.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.