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Finding the Fourth Proportional to 6,501, 9,751.49 and 2,118.45

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Solution

The fourth proportional to 6,501, 9,751.49 and 2,118.45 is: 3,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501 : 9,751.49 = 2,118.45 : x
  2. Step 2: Convert to fraction form
    6,501/9,751.49 = 2,118.45/x
  3. Step 3: Cross multiply
    6,501x = 9,751.49 × 2,118.45
  4. Step 4: Simplify right side
    6,501x = 20,658,033.40
  5. Step 5: Solve for x
    x = 20,658,033.40/6,501
  6. Step 6: Final answer
    x = 3,177.67

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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.