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Finding the Fourth Proportional to 6,570.95, 9,835.27 and 3,446.58

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Solution

The fourth proportional to 6,570.95, 9,835.27 and 3,446.58 is: 5,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.95 : 9,835.27 = 3,446.58 : x
  2. Step 2: Convert to fraction form
    6,570.95/9,835.27 = 3,446.58/x
  3. Step 3: Cross multiply
    6,570.95x = 9,835.27 × 3,446.58
  4. Step 4: Simplify right side
    6,570.95x = 33,898,009.54
  5. Step 5: Solve for x
    x = 33,898,009.54/6,570.95
  6. Step 6: Final answer
    x = 5,158.77

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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.