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Finding the Fourth Proportional to 6,596.81, 9,892.86 and 2,435.69

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Solution

The fourth proportional to 6,596.81, 9,892.86 and 2,435.69 is: 3,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.81 : 9,892.86 = 2,435.69 : x
  2. Step 2: Convert to fraction form
    6,596.81/9,892.86 = 2,435.69/x
  3. Step 3: Cross multiply
    6,596.81x = 9,892.86 × 2,435.69
  4. Step 4: Simplify right side
    6,596.81x = 24,095,955.77
  5. Step 5: Solve for x
    x = 24,095,955.77/6,596.81
  6. Step 6: Final answer
    x = 3,652.67

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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.