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Finding the Fourth Proportional to 18,824.26, 28,225.32 and 7,138.30

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Solution

The fourth proportional to 18,824.26, 28,225.32 and 7,138.30 is: 10,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,824.26 : 28,225.32 = 7,138.30 : x
  2. Step 2: Convert to fraction form
    18,824.26/28,225.32 = 7,138.30/x
  3. Step 3: Cross multiply
    18,824.26x = 28,225.32 × 7,138.30
  4. Step 4: Simplify right side
    18,824.26x = 201,480,801.76
  5. Step 5: Solve for x
    x = 201,480,801.76/18,824.26
  6. Step 6: Final answer
    x = 10,703.25

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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.