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Finding the Fourth Proportional to 9,313.65, 13,972.68 and 3,073.80

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Solution

The fourth proportional to 9,313.65, 13,972.68 and 3,073.80 is: 4,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.65 : 13,972.68 = 3,073.80 : x
  2. Step 2: Convert to fraction form
    9,313.65/13,972.68 = 3,073.80/x
  3. Step 3: Cross multiply
    9,313.65x = 13,972.68 × 3,073.80
  4. Step 4: Simplify right side
    9,313.65x = 42,949,223.78
  5. Step 5: Solve for x
    x = 42,949,223.78/9,313.65
  6. Step 6: Final answer
    x = 4,611.43

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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.