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Finding the Fourth Proportional to 6,635.37, 9,953.01 and 1,705.02

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Solution

The fourth proportional to 6,635.37, 9,953.01 and 1,705.02 is: 2,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.37 : 9,953.01 = 1,705.02 : x
  2. Step 2: Convert to fraction form
    6,635.37/9,953.01 = 1,705.02/x
  3. Step 3: Cross multiply
    6,635.37x = 9,953.01 × 1,705.02
  4. Step 4: Simplify right side
    6,635.37x = 16,970,081.11
  5. Step 5: Solve for x
    x = 16,970,081.11/6,635.37
  6. Step 6: Final answer
    x = 2,557.52

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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.