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Finding the Fourth Proportional to 25,494.40, 38,241.60 and 7,964.25

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Solution

The fourth proportional to 25,494.40, 38,241.60 and 7,964.25 is: 11,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.40 : 38,241.60 = 7,964.25 : x
  2. Step 2: Convert to fraction form
    25,494.40/38,241.60 = 7,964.25/x
  3. Step 3: Cross multiply
    25,494.40x = 38,241.60 × 7,964.25
  4. Step 4: Simplify right side
    25,494.40x = 304,565,662.80
  5. Step 5: Solve for x
    x = 304,565,662.80/25,494.40
  6. Step 6: Final answer
    x = 11,946.38

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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.