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Finding the Fourth Proportional to 6,511.32, 9,767.70 and 1,894.68

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Solution

The fourth proportional to 6,511.32, 9,767.70 and 1,894.68 is: 2,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.32 : 9,767.70 = 1,894.68 : x
  2. Step 2: Convert to fraction form
    6,511.32/9,767.70 = 1,894.68/x
  3. Step 3: Cross multiply
    6,511.32x = 9,767.70 × 1,894.68
  4. Step 4: Simplify right side
    6,511.32x = 18,506,665.84
  5. Step 5: Solve for x
    x = 18,506,665.84/6,511.32
  6. Step 6: Final answer
    x = 2,842.23

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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.