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Finding the Fourth Proportional to 6,507.88, 9,757.18 and 3,043.24

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Solution

The fourth proportional to 6,507.88, 9,757.18 and 3,043.24 is: 4,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.88 : 9,757.18 = 3,043.24 : x
  2. Step 2: Convert to fraction form
    6,507.88/9,757.18 = 3,043.24/x
  3. Step 3: Cross multiply
    6,507.88x = 9,757.18 × 3,043.24
  4. Step 4: Simplify right side
    6,507.88x = 29,693,440.46
  5. Step 5: Solve for x
    x = 29,693,440.46/6,507.88
  6. Step 6: Final answer
    x = 4,562.69

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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.