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Finding the Fourth Proportional to 6,970.79, 10,449.12 and 4,184.41

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Solution

The fourth proportional to 6,970.79, 10,449.12 and 4,184.41 is: 6,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.79 : 10,449.12 = 4,184.41 : x
  2. Step 2: Convert to fraction form
    6,970.79/10,449.12 = 4,184.41/x
  3. Step 3: Cross multiply
    6,970.79x = 10,449.12 × 4,184.41
  4. Step 4: Simplify right side
    6,970.79x = 43,723,402.22
  5. Step 5: Solve for x
    x = 43,723,402.22/6,970.79
  6. Step 6: Final answer
    x = 6,272.37

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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.