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Finding the Fourth Proportional to 11,804.85, 16,290.67 and 6,499.67

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Solution

The fourth proportional to 11,804.85, 16,290.67 and 6,499.67 is: 8,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.85 : 16,290.67 = 6,499.67 : x
  2. Step 2: Convert to fraction form
    11,804.85/16,290.67 = 6,499.67/x
  3. Step 3: Cross multiply
    11,804.85x = 16,290.67 × 6,499.67
  4. Step 4: Simplify right side
    11,804.85x = 105,883,979.08
  5. Step 5: Solve for x
    x = 105,883,979.08/11,804.85
  6. Step 6: Final answer
    x = 8,969.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.