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Finding the Fourth Proportional to 14,359.92, 19,814.64 and 7,986.12

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Solution

The fourth proportional to 14,359.92, 19,814.64 and 7,986.12 is: 11,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,359.92 : 19,814.64 = 7,986.12 : x
  2. Step 2: Convert to fraction form
    14,359.92/19,814.64 = 7,986.12/x
  3. Step 3: Cross multiply
    14,359.92x = 19,814.64 × 7,986.12
  4. Step 4: Simplify right side
    14,359.92x = 158,242,092.80
  5. Step 5: Solve for x
    x = 158,242,092.80/14,359.92
  6. Step 6: Final answer
    x = 11,019.71

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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.