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Finding the Fourth Proportional to 12,991.78, 17,922.63 and 8,209.54

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Solution

The fourth proportional to 12,991.78, 17,922.63 and 8,209.54 is: 11,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.78 : 17,922.63 = 8,209.54 : x
  2. Step 2: Convert to fraction form
    12,991.78/17,922.63 = 8,209.54/x
  3. Step 3: Cross multiply
    12,991.78x = 17,922.63 × 8,209.54
  4. Step 4: Simplify right side
    12,991.78x = 147,136,547.89
  5. Step 5: Solve for x
    x = 147,136,547.89/12,991.78
  6. Step 6: Final answer
    x = 11,325.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.