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Finding the Fourth Proportional to 14,296.78, 19,728.98 and 7,923.46

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Solution

The fourth proportional to 14,296.78, 19,728.98 and 7,923.46 is: 10,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.78 : 19,728.98 = 7,923.46 : x
  2. Step 2: Convert to fraction form
    14,296.78/19,728.98 = 7,923.46/x
  3. Step 3: Cross multiply
    14,296.78x = 19,728.98 × 7,923.46
  4. Step 4: Simplify right side
    14,296.78x = 156,321,783.87
  5. Step 5: Solve for x
    x = 156,321,783.87/14,296.78
  6. Step 6: Final answer
    x = 10,934.06

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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.