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Finding the Fourth Proportional to 11,904.54, 16,425.90 and 7,189.08

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Solution

The fourth proportional to 11,904.54, 16,425.90 and 7,189.08 is: 9,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.54 : 16,425.90 = 7,189.08 : x
  2. Step 2: Convert to fraction form
    11,904.54/16,425.90 = 7,189.08/x
  3. Step 3: Cross multiply
    11,904.54x = 16,425.90 × 7,189.08
  4. Step 4: Simplify right side
    11,904.54x = 118,087,109.17
  5. Step 5: Solve for x
    x = 118,087,109.17/11,904.54
  6. Step 6: Final answer
    x = 9,919.50

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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.