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Finding the Fourth Proportional to 13,951.54, 19,254.48 and 7,984.06

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Solution

The fourth proportional to 13,951.54, 19,254.48 and 7,984.06 is: 11,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.54 : 19,254.48 = 7,984.06 : x
  2. Step 2: Convert to fraction form
    13,951.54/19,254.48 = 7,984.06/x
  3. Step 3: Cross multiply
    13,951.54x = 19,254.48 × 7,984.06
  4. Step 4: Simplify right side
    13,951.54x = 153,728,923.59
  5. Step 5: Solve for x
    x = 153,728,923.59/13,951.54
  6. Step 6: Final answer
    x = 11,018.78

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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.