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Finding the Fourth Proportional to 6,170.80, 9,256.02 and 1,553.80

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Solution

The fourth proportional to 6,170.80, 9,256.02 and 1,553.80 is: 2,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.80 : 9,256.02 = 1,553.80 : x
  2. Step 2: Convert to fraction form
    6,170.80/9,256.02 = 1,553.80/x
  3. Step 3: Cross multiply
    6,170.80x = 9,256.02 × 1,553.80
  4. Step 4: Simplify right side
    6,170.80x = 14,382,003.88
  5. Step 5: Solve for x
    x = 14,382,003.88/6,170.80
  6. Step 6: Final answer
    x = 2,330.65

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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.