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Finding the Fourth Proportional to 9,843.54, 13,583.94 and 6,491.22

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Solution

The fourth proportional to 9,843.54, 13,583.94 and 6,491.22 is: 8,957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.54 : 13,583.94 = 6,491.22 : x
  2. Step 2: Convert to fraction form
    9,843.54/13,583.94 = 6,491.22/x
  3. Step 3: Cross multiply
    9,843.54x = 13,583.94 × 6,491.22
  4. Step 4: Simplify right side
    9,843.54x = 88,176,343.01
  5. Step 5: Solve for x
    x = 88,176,343.01/9,843.54
  6. Step 6: Final answer
    x = 8,957.79

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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.