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Finding the Fourth Proportional to 14,969.06, 22,453.59 and 8,309.65

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Solution

The fourth proportional to 14,969.06, 22,453.59 and 8,309.65 is: 12,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.06 : 22,453.59 = 8,309.65 : x
  2. Step 2: Convert to fraction form
    14,969.06/22,453.59 = 8,309.65/x
  3. Step 3: Cross multiply
    14,969.06x = 22,453.59 × 8,309.65
  4. Step 4: Simplify right side
    14,969.06x = 186,581,474.14
  5. Step 5: Solve for x
    x = 186,581,474.14/14,969.06
  6. Step 6: Final answer
    x = 12,464.48

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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.