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Finding the Fourth Proportional to 6,970.15, 10,455.18 and 1,775.98

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Solution

The fourth proportional to 6,970.15, 10,455.18 and 1,775.98 is: 2,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.15 : 10,455.18 = 1,775.98 : x
  2. Step 2: Convert to fraction form
    6,970.15/10,455.18 = 1,775.98/x
  3. Step 3: Cross multiply
    6,970.15x = 10,455.18 × 1,775.98
  4. Step 4: Simplify right side
    6,970.15x = 18,568,190.58
  5. Step 5: Solve for x
    x = 18,568,190.58/6,970.15
  6. Step 6: Final answer
    x = 2,663.96

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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.