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Finding the Fourth Proportional to 6,501.69, 9,755.78 and 2,804.85

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Solution

The fourth proportional to 6,501.69, 9,755.78 and 2,804.85 is: 4,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.69 : 9,755.78 = 2,804.85 : x
  2. Step 2: Convert to fraction form
    6,501.69/9,755.78 = 2,804.85/x
  3. Step 3: Cross multiply
    6,501.69x = 9,755.78 × 2,804.85
  4. Step 4: Simplify right side
    6,501.69x = 27,363,485.51
  5. Step 5: Solve for x
    x = 27,363,485.51/6,501.69
  6. Step 6: Final answer
    x = 4,208.67

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1.5x scale

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.