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Finding the Fourth Proportional to 6,327.57, 9,491.34 and 1,710.57

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Solution

The fourth proportional to 6,327.57, 9,491.34 and 1,710.57 is: 2,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.57 : 9,491.34 = 1,710.57 : x
  2. Step 2: Convert to fraction form
    6,327.57/9,491.34 = 1,710.57/x
  3. Step 3: Cross multiply
    6,327.57x = 9,491.34 × 1,710.57
  4. Step 4: Simplify right side
    6,327.57x = 16,235,601.46
  5. Step 5: Solve for x
    x = 16,235,601.46/6,327.57
  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.