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Finding the Fourth Proportional to 9,522.92, 14,283.16 and 3,976.92

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Solution

The fourth proportional to 9,522.92, 14,283.16 and 3,976.92 is: 5,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.92 : 14,283.16 = 3,976.92 : x
  2. Step 2: Convert to fraction form
    9,522.92/14,283.16 = 3,976.92/x
  3. Step 3: Cross multiply
    9,522.92x = 14,283.16 × 3,976.92
  4. Step 4: Simplify right side
    9,522.92x = 56,802,984.67
  5. Step 5: Solve for x
    x = 56,802,984.67/9,522.92
  6. Step 6: Final answer
    x = 5,964.87

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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.