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Finding the Fourth Proportional to 23,980.44, 35,966.30 and 6,446.16

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Solution

The fourth proportional to 23,980.44, 35,966.30 and 6,446.16 is: 9,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,980.44 : 35,966.30 = 6,446.16 : x
  2. Step 2: Convert to fraction form
    23,980.44/35,966.30 = 6,446.16/x
  3. Step 3: Cross multiply
    23,980.44x = 35,966.30 × 6,446.16
  4. Step 4: Simplify right side
    23,980.44x = 231,844,524.41
  5. Step 5: Solve for x
    x = 231,844,524.41/23,980.44
  6. Step 6: Final answer
    x = 9,668.07

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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.