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Finding the Fourth Proportional to 6,409.73, 8,844 and 3,719.39

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Solution

The fourth proportional to 6,409.73, 8,844 and 3,719.39 is: 5,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.73 : 8,844 = 3,719.39 : x
  2. Step 2: Convert to fraction form
    6,409.73/8,844 = 3,719.39/x
  3. Step 3: Cross multiply
    6,409.73x = 8,844 × 3,719.39
  4. Step 4: Simplify right side
    6,409.73x = 32,894,240.94
  5. Step 5: Solve for x
    x = 32,894,240.94/6,409.73
  6. Step 6: Final answer
    x = 5,131.93

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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.