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Finding the Fourth Proportional to 12,225.78, 18,323.56 and 6,965.23

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Solution

The fourth proportional to 12,225.78, 18,323.56 and 6,965.23 is: 10,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.78 : 18,323.56 = 6,965.23 : x
  2. Step 2: Convert to fraction form
    12,225.78/18,323.56 = 6,965.23/x
  3. Step 3: Cross multiply
    12,225.78x = 18,323.56 × 6,965.23
  4. Step 4: Simplify right side
    12,225.78x = 127,627,809.82
  5. Step 5: Solve for x
    x = 127,627,809.82/12,225.78
  6. Step 6: Final answer
    x = 10,439.24

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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.