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Finding the Fourth Proportional to 13,958.51, 19,254.09 and 9,179.00

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Solution

The fourth proportional to 13,958.51, 19,254.09 and 9,179.00 is: 12,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.51 : 19,254.09 = 9,179.00 : x
  2. Step 2: Convert to fraction form
    13,958.51/19,254.09 = 9,179.00/x
  3. Step 3: Cross multiply
    13,958.51x = 19,254.09 × 9,179.00
  4. Step 4: Simplify right side
    13,958.51x = 176,733,195.84
  5. Step 5: Solve for x
    x = 176,733,195.84/13,958.51
  6. Step 6: Final answer
    x = 12,661.33

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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.