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Finding the Fourth Proportional to 9,214.30, 13,809.30 and 8,169.40

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Solution

The fourth proportional to 9,214.30, 13,809.30 and 8,169.40 is: 12,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.30 : 13,809.30 = 8,169.40 : x
  2. Step 2: Convert to fraction form
    9,214.30/13,809.30 = 8,169.40/x
  3. Step 3: Cross multiply
    9,214.30x = 13,809.30 × 8,169.40
  4. Step 4: Simplify right side
    9,214.30x = 112,813,695.42
  5. Step 5: Solve for x
    x = 112,813,695.42/9,214.30
  6. Step 6: Final answer
    x = 12,243.33

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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.