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Finding the Fourth Proportional to 6,633.56, 9,953.58 and 3,170

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Solution

The fourth proportional to 6,633.56, 9,953.58 and 3,170 is: 4,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.56 : 9,953.58 = 3,170 : x
  2. Step 2: Convert to fraction form
    6,633.56/9,953.58 = 3,170/x
  3. Step 3: Cross multiply
    6,633.56x = 9,953.58 × 3,170
  4. Step 4: Simplify right side
    6,633.56x = 31,552,848.60
  5. Step 5: Solve for x
    x = 31,552,848.60/6,633.56
  6. Step 6: Final answer
    x = 4,756.55

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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.