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Finding the Fourth Proportional to 6,970.36, 10,455.82 and 3,073.88

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Solution

The fourth proportional to 6,970.36, 10,455.82 and 3,073.88 is: 4,610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.36 : 10,455.82 = 3,073.88 : x
  2. Step 2: Convert to fraction form
    6,970.36/10,455.82 = 3,073.88/x
  3. Step 3: Cross multiply
    6,970.36x = 10,455.82 × 3,073.88
  4. Step 4: Simplify right side
    6,970.36x = 32,139,935.98
  5. Step 5: Solve for x
    x = 32,139,935.98/6,970.36
  6. Step 6: Final answer
    x = 4,610.94

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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.