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Finding the Fourth Proportional to 6,337, 9,507.44 and 4,491.72

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Solution

The fourth proportional to 6,337, 9,507.44 and 4,491.72 is: 6,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337 : 9,507.44 = 4,491.72 : x
  2. Step 2: Convert to fraction form
    6,337/9,507.44 = 4,491.72/x
  3. Step 3: Cross multiply
    6,337x = 9,507.44 × 4,491.72
  4. Step 4: Simplify right side
    6,337x = 42,704,758.40
  5. Step 5: Solve for x
    x = 42,704,758.40/6,337
  6. Step 6: Final answer
    x = 6,738.96

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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.