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Finding the Fourth Proportional to 6,327.56, 9,491.36 and 1,710.56

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Solution

The fourth proportional to 6,327.56, 9,491.36 and 1,710.56 is: 2,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.56 : 9,491.36 = 1,710.56 : x
  2. Step 2: Convert to fraction form
    6,327.56/9,491.36 = 1,710.56/x
  3. Step 3: Cross multiply
    6,327.56x = 9,491.36 × 1,710.56
  4. Step 4: Simplify right side
    6,327.56x = 16,235,555.94
  5. Step 5: Solve for x
    x = 16,235,555.94/6,327.56
  6. Step 6: Final answer
    x = 2,565.85

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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.