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Finding the Fourth Proportional to 6,491.46, 9,732.93 and 3,206.70

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Solution

The fourth proportional to 6,491.46, 9,732.93 and 3,206.70 is: 4,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.46 : 9,732.93 = 3,206.70 : x
  2. Step 2: Convert to fraction form
    6,491.46/9,732.93 = 3,206.70/x
  3. Step 3: Cross multiply
    6,491.46x = 9,732.93 × 3,206.70
  4. Step 4: Simplify right side
    6,491.46x = 31,210,586.63
  5. Step 5: Solve for x
    x = 31,210,586.63/6,491.46
  6. Step 6: Final answer
    x = 4,807.95

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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.