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Finding the Fourth Proportional to 6,970.53, 10,456.65 and 2,291.05

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Solution

The fourth proportional to 6,970.53, 10,456.65 and 2,291.05 is: 3,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.53 : 10,456.65 = 2,291.05 : x
  2. Step 2: Convert to fraction form
    6,970.53/10,456.65 = 2,291.05/x
  3. Step 3: Cross multiply
    6,970.53x = 10,456.65 × 2,291.05
  4. Step 4: Simplify right side
    6,970.53x = 23,956,707.98
  5. Step 5: Solve for x
    x = 23,956,707.98/6,970.53
  6. Step 6: Final answer
    x = 3,436.86

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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.