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Finding the Fourth Proportional to 6,494.64, 9,743.40 and 3,030

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Solution

The fourth proportional to 6,494.64, 9,743.40 and 3,030 is: 4,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.64 : 9,743.40 = 3,030 : x
  2. Step 2: Convert to fraction form
    6,494.64/9,743.40 = 3,030/x
  3. Step 3: Cross multiply
    6,494.64x = 9,743.40 × 3,030
  4. Step 4: Simplify right side
    6,494.64x = 29,522,502
  5. Step 5: Solve for x
    x = 29,522,502/6,494.64
  6. Step 6: Final answer
    x = 4,545.67

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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.