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Finding the Fourth Proportional to 16,083, 22,197.60 and 9,370.08

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Solution

The fourth proportional to 16,083, 22,197.60 and 9,370.08 is: 12,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083 : 22,197.60 = 9,370.08 : x
  2. Step 2: Convert to fraction form
    16,083/22,197.60 = 9,370.08/x
  3. Step 3: Cross multiply
    16,083x = 22,197.60 × 9,370.08
  4. Step 4: Simplify right side
    16,083x = 207,993,287.81
  5. Step 5: Solve for x
    x = 207,993,287.81/16,083
  6. Step 6: Final answer
    x = 12,932.49

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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.