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Finding the Fourth Proportional to 9,244.50, 12,757.50 and 5,052.84

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Solution

The fourth proportional to 9,244.50, 12,757.50 and 5,052.84 is: 6,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.50 : 12,757.50 = 5,052.84 : x
  2. Step 2: Convert to fraction form
    9,244.50/12,757.50 = 5,052.84/x
  3. Step 3: Cross multiply
    9,244.50x = 12,757.50 × 5,052.84
  4. Step 4: Simplify right side
    9,244.50x = 64,461,606.30
  5. Step 5: Solve for x
    x = 64,461,606.30/9,244.50
  6. Step 6: Final answer
    x = 6,972.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.