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Finding the Fourth Proportional to 6,466.51, 9,698.61 and 4,119.55

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Solution

The fourth proportional to 6,466.51, 9,698.61 and 4,119.55 is: 6,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.51 : 9,698.61 = 4,119.55 : x
  2. Step 2: Convert to fraction form
    6,466.51/9,698.61 = 4,119.55/x
  3. Step 3: Cross multiply
    6,466.51x = 9,698.61 × 4,119.55
  4. Step 4: Simplify right side
    6,466.51x = 39,953,908.83
  5. Step 5: Solve for x
    x = 39,953,908.83/6,466.51
  6. Step 6: Final answer
    x = 6,178.59

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