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Finding the Fourth Proportional to 12,083.64, 18,125.73 and 9,623.40

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Solution

The fourth proportional to 12,083.64, 18,125.73 and 9,623.40 is: 14,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.64 : 18,125.73 = 9,623.40 : x
  2. Step 2: Convert to fraction form
    12,083.64/18,125.73 = 9,623.40/x
  3. Step 3: Cross multiply
    12,083.64x = 18,125.73 × 9,623.40
  4. Step 4: Simplify right side
    12,083.64x = 174,431,150.08
  5. Step 5: Solve for x
    x = 174,431,150.08/12,083.64
  6. Step 6: Final answer
    x = 14,435.32

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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.