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Finding the Fourth Proportional to 11,902.51, 17,853.90 and 4,109.50

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Solution

The fourth proportional to 11,902.51, 17,853.90 and 4,109.50 is: 6,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.51 : 17,853.90 = 4,109.50 : x
  2. Step 2: Convert to fraction form
    11,902.51/17,853.90 = 4,109.50/x
  3. Step 3: Cross multiply
    11,902.51x = 17,853.90 × 4,109.50
  4. Step 4: Simplify right side
    11,902.51x = 73,370,602.05
  5. Step 5: Solve for x
    x = 73,370,602.05/11,902.51
  6. Step 6: Final answer
    x = 6,164.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.