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Finding the Fourth Proportional to 14,313.69, 19,753.09 and 8,647.65

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Solution

The fourth proportional to 14,313.69, 19,753.09 and 8,647.65 is: 11,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.69 : 19,753.09 = 8,647.65 : x
  2. Step 2: Convert to fraction form
    14,313.69/19,753.09 = 8,647.65/x
  3. Step 3: Cross multiply
    14,313.69x = 19,753.09 × 8,647.65
  4. Step 4: Simplify right side
    14,313.69x = 170,817,709.97
  5. Step 5: Solve for x
    x = 170,817,709.97/14,313.69
  6. Step 6: Final answer
    x = 11,933.87

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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.