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Finding the Fourth Proportional to 4,631.46, 6,947.10 and 1,168.74

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Solution

The fourth proportional to 4,631.46, 6,947.10 and 1,168.74 is: 1,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.46 : 6,947.10 = 1,168.74 : x
  2. Step 2: Convert to fraction form
    4,631.46/6,947.10 = 1,168.74/x
  3. Step 3: Cross multiply
    4,631.46x = 6,947.10 × 1,168.74
  4. Step 4: Simplify right side
    4,631.46x = 8,119,353.65
  5. Step 5: Solve for x
    x = 8,119,353.65/4,631.46
  6. Step 6: Final answer
    x = 1,753.09

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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.