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Finding the Fourth Proportional to 6,256.97, 9,385.12 and 1,576.97

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Solution

The fourth proportional to 6,256.97, 9,385.12 and 1,576.97 is: 2,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.97 : 9,385.12 = 1,576.97 : x
  2. Step 2: Convert to fraction form
    6,256.97/9,385.12 = 1,576.97/x
  3. Step 3: Cross multiply
    6,256.97x = 9,385.12 × 1,576.97
  4. Step 4: Simplify right side
    6,256.97x = 14,800,034.06
  5. Step 5: Solve for x
    x = 14,800,034.06/6,256.97
  6. Step 6: Final answer
    x = 2,365.37

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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.