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Finding the Fourth Proportional to 6,977.34, 10,462.50 and 2,297.16

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Solution

The fourth proportional to 6,977.34, 10,462.50 and 2,297.16 is: 3,444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.34 : 10,462.50 = 2,297.16 : x
  2. Step 2: Convert to fraction form
    6,977.34/10,462.50 = 2,297.16/x
  3. Step 3: Cross multiply
    6,977.34x = 10,462.50 × 2,297.16
  4. Step 4: Simplify right side
    6,977.34x = 24,034,036.50
  5. Step 5: Solve for x
    x = 24,034,036.50/6,977.34
  6. Step 6: Final answer
    x = 3,444.58

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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.