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Finding the Fourth Proportional to 9,843.13, 13,583.63 and 5,366.84

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Solution

The fourth proportional to 9,843.13, 13,583.63 and 5,366.84 is: 7,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.13 : 13,583.63 = 5,366.84 : x
  2. Step 2: Convert to fraction form
    9,843.13/13,583.63 = 5,366.84/x
  3. Step 3: Cross multiply
    9,843.13x = 13,583.63 × 5,366.84
  4. Step 4: Simplify right side
    9,843.13x = 72,901,216.21
  5. Step 5: Solve for x
    x = 72,901,216.21/9,843.13
  6. Step 6: Final answer
    x = 7,406.31

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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.