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Finding the Fourth Proportional to 14,296.86, 19,729.19 and 7,923.18

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Solution

The fourth proportional to 14,296.86, 19,729.19 and 7,923.18 is: 10,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.86 : 19,729.19 = 7,923.18 : x
  2. Step 2: Convert to fraction form
    14,296.86/19,729.19 = 7,923.18/x
  3. Step 3: Cross multiply
    14,296.86x = 19,729.19 × 7,923.18
  4. Step 4: Simplify right side
    14,296.86x = 156,317,923.62
  5. Step 5: Solve for x
    x = 156,317,923.62/14,296.86
  6. Step 6: Final answer
    x = 10,933.72

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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.