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Finding the Fourth Proportional to 6,698.58, 10,054.08 and 3,414.12

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Solution

The fourth proportional to 6,698.58, 10,054.08 and 3,414.12 is: 5,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.58 : 10,054.08 = 3,414.12 : x
  2. Step 2: Convert to fraction form
    6,698.58/10,054.08 = 3,414.12/x
  3. Step 3: Cross multiply
    6,698.58x = 10,054.08 × 3,414.12
  4. Step 4: Simplify right side
    6,698.58x = 34,325,835.61
  5. Step 5: Solve for x
    x = 34,325,835.61/6,698.58
  6. Step 6: Final answer
    x = 5,124.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.