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Finding the Fourth Proportional to 14,226.04, 19,625 and 9,194.60

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Solution

The fourth proportional to 14,226.04, 19,625 and 9,194.60 is: 12,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.04 : 19,625 = 9,194.60 : x
  2. Step 2: Convert to fraction form
    14,226.04/19,625 = 9,194.60/x
  3. Step 3: Cross multiply
    14,226.04x = 19,625 × 9,194.60
  4. Step 4: Simplify right side
    14,226.04x = 180,444,025
  5. Step 5: Solve for x
    x = 180,444,025/14,226.04
  6. Step 6: Final answer
    x = 12,684.07

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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.