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Finding the Fourth Proportional to 6,899.56, 10,349.34 and 1,705.32

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Solution

The fourth proportional to 6,899.56, 10,349.34 and 1,705.32 is: 2,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.56 : 10,349.34 = 1,705.32 : x
  2. Step 2: Convert to fraction form
    6,899.56/10,349.34 = 1,705.32/x
  3. Step 3: Cross multiply
    6,899.56x = 10,349.34 × 1,705.32
  4. Step 4: Simplify right side
    6,899.56x = 17,648,936.49
  5. Step 5: Solve for x
    x = 17,648,936.49/6,899.56
  6. Step 6: Final answer
    x = 2,557.98

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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.