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Finding the Fourth Proportional to 8,419.87, 11,619.27 and 4,643.39

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Solution

The fourth proportional to 8,419.87, 11,619.27 and 4,643.39 is: 6,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.87 : 11,619.27 = 4,643.39 : x
  2. Step 2: Convert to fraction form
    8,419.87/11,619.27 = 4,643.39/x
  3. Step 3: Cross multiply
    8,419.87x = 11,619.27 × 4,643.39
  4. Step 4: Simplify right side
    8,419.87x = 53,952,795.21
  5. Step 5: Solve for x
    x = 53,952,795.21/8,419.87
  6. Step 6: Final answer
    x = 6,407.79

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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.