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Finding the Fourth Proportional to 6,970.68, 10,446.41 and 4,624.46

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Solution

The fourth proportional to 6,970.68, 10,446.41 and 4,624.46 is: 6,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.68 : 10,446.41 = 4,624.46 : x
  2. Step 2: Convert to fraction form
    6,970.68/10,446.41 = 4,624.46/x
  3. Step 3: Cross multiply
    6,970.68x = 10,446.41 × 4,624.46
  4. Step 4: Simplify right side
    6,970.68x = 48,309,005.19
  5. Step 5: Solve for x
    x = 48,309,005.19/6,970.68
  6. Step 6: Final answer
    x = 6,930.31

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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.