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Finding the Fourth Proportional to 13,626.60, 18,797 and 8,582.14

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Solution

The fourth proportional to 13,626.60, 18,797 and 8,582.14 is: 11,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,626.60 : 18,797 = 8,582.14 : x
  2. Step 2: Convert to fraction form
    13,626.60/18,797 = 8,582.14/x
  3. Step 3: Cross multiply
    13,626.60x = 18,797 × 8,582.14
  4. Step 4: Simplify right side
    13,626.60x = 161,318,485.58
  5. Step 5: Solve for x
    x = 161,318,485.58/13,626.60
  6. Step 6: Final answer
    x = 11,838.50

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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.