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Finding the Fourth Proportional to 17,096.30, 25,632.30 and 7,740.80

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Solution

The fourth proportional to 17,096.30, 25,632.30 and 7,740.80 is: 11,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.30 : 25,632.30 = 7,740.80 : x
  2. Step 2: Convert to fraction form
    17,096.30/25,632.30 = 7,740.80/x
  3. Step 3: Cross multiply
    17,096.30x = 25,632.30 × 7,740.80
  4. Step 4: Simplify right side
    17,096.30x = 198,414,507.84
  5. Step 5: Solve for x
    x = 198,414,507.84/17,096.30
  6. Step 6: Final answer
    x = 11,605.70

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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.