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Finding the Fourth Proportional to 6,328.14, 8,718.60 and 4,412.16

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Solution

The fourth proportional to 6,328.14, 8,718.60 and 4,412.16 is: 6,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.14 : 8,718.60 = 4,412.16 : x
  2. Step 2: Convert to fraction form
    6,328.14/8,718.60 = 4,412.16/x
  3. Step 3: Cross multiply
    6,328.14x = 8,718.60 × 4,412.16
  4. Step 4: Simplify right side
    6,328.14x = 38,467,858.18
  5. Step 5: Solve for x
    x = 38,467,858.18/6,328.14
  6. Step 6: Final answer
    x = 6,078.86

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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.