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Finding the Fourth Proportional to 9,311.60, 13,954.60 and 8,210.80

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Solution

The fourth proportional to 9,311.60, 13,954.60 and 8,210.80 is: 12,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.60 : 13,954.60 = 8,210.80 : x
  2. Step 2: Convert to fraction form
    9,311.60/13,954.60 = 8,210.80/x
  3. Step 3: Cross multiply
    9,311.60x = 13,954.60 × 8,210.80
  4. Step 4: Simplify right side
    9,311.60x = 114,578,429.68
  5. Step 5: Solve for x
    x = 114,578,429.68/9,311.60
  6. Step 6: Final answer
    x = 12,304.91

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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.