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Finding the Fourth Proportional to 6,511.04, 9,768 and 1,894.08

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Solution

The fourth proportional to 6,511.04, 9,768 and 1,894.08 is: 2,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.04 : 9,768 = 1,894.08 : x
  2. Step 2: Convert to fraction form
    6,511.04/9,768 = 1,894.08/x
  3. Step 3: Cross multiply
    6,511.04x = 9,768 × 1,894.08
  4. Step 4: Simplify right side
    6,511.04x = 18,501,373.44
  5. Step 5: Solve for x
    x = 18,501,373.44/6,511.04
  6. Step 6: Final answer
    x = 2,841.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.