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Finding the Fourth Proportional to 13,442.78, 18,559.34 and 8,664.42

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Solution

The fourth proportional to 13,442.78, 18,559.34 and 8,664.42 is: 11,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.78 : 18,559.34 = 8,664.42 : x
  2. Step 2: Convert to fraction form
    13,442.78/18,559.34 = 8,664.42/x
  3. Step 3: Cross multiply
    13,442.78x = 18,559.34 × 8,664.42
  4. Step 4: Simplify right side
    13,442.78x = 160,805,916.68
  5. Step 5: Solve for x
    x = 160,805,916.68/13,442.78
  6. Step 6: Final answer
    x = 11,962.25

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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.