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Finding the Fourth Proportional to 12,191.92, 16,814.32 and 7,941.38

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Solution

The fourth proportional to 12,191.92, 16,814.32 and 7,941.38 is: 10,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.92 : 16,814.32 = 7,941.38 : x
  2. Step 2: Convert to fraction form
    12,191.92/16,814.32 = 7,941.38/x
  3. Step 3: Cross multiply
    12,191.92x = 16,814.32 × 7,941.38
  4. Step 4: Simplify right side
    12,191.92x = 133,528,800.64
  5. Step 5: Solve for x
    x = 133,528,800.64/12,191.92
  6. Step 6: Final answer
    x = 10,952.24

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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.