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Finding the Fourth Proportional to 6,648.60, 9,964.80 and 2,946.90

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Solution

The fourth proportional to 6,648.60, 9,964.80 and 2,946.90 is: 4,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.60 : 9,964.80 = 2,946.90 : x
  2. Step 2: Convert to fraction form
    6,648.60/9,964.80 = 2,946.90/x
  3. Step 3: Cross multiply
    6,648.60x = 9,964.80 × 2,946.90
  4. Step 4: Simplify right side
    6,648.60x = 29,365,269.12
  5. Step 5: Solve for x
    x = 29,365,269.12/6,648.60
  6. Step 6: Final answer
    x = 4,416.76

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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.