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Finding the Fourth Proportional to 6,507.29, 9,760.95 and 1,576.91

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Solution

The fourth proportional to 6,507.29, 9,760.95 and 1,576.91 is: 2,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.29 : 9,760.95 = 1,576.91 : x
  2. Step 2: Convert to fraction form
    6,507.29/9,760.95 = 1,576.91/x
  3. Step 3: Cross multiply
    6,507.29x = 9,760.95 × 1,576.91
  4. Step 4: Simplify right side
    6,507.29x = 15,392,139.66
  5. Step 5: Solve for x
    x = 15,392,139.66/6,507.29
  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.