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Finding the Fourth Proportional to 6,298.36, 9,446.70 and 1,681.72

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Solution

The fourth proportional to 6,298.36, 9,446.70 and 1,681.72 is: 2,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.36 : 9,446.70 = 1,681.72 : x
  2. Step 2: Convert to fraction form
    6,298.36/9,446.70 = 1,681.72/x
  3. Step 3: Cross multiply
    6,298.36x = 9,446.70 × 1,681.72
  4. Step 4: Simplify right side
    6,298.36x = 15,886,704.32
  5. Step 5: Solve for x
    x = 15,886,704.32/6,298.36
  6. Step 6: Final answer
    x = 2,522.36

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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.