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Finding the Fourth Proportional to 25,802.25, 38,709.88 and 7,334.25

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Solution

The fourth proportional to 25,802.25, 38,709.88 and 7,334.25 is: 11,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.25 : 38,709.88 = 7,334.25 : x
  2. Step 2: Convert to fraction form
    25,802.25/38,709.88 = 7,334.25/x
  3. Step 3: Cross multiply
    25,802.25x = 38,709.88 × 7,334.25
  4. Step 4: Simplify right side
    25,802.25x = 283,907,919.05
  5. Step 5: Solve for x
    x = 283,907,919.05/25,802.25
  6. Step 6: Final answer
    x = 11,003.22

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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.