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Finding the Fourth Proportional to 7,274.88, 10,044 and 6,348.24

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Solution

The fourth proportional to 7,274.88, 10,044 and 6,348.24 is: 8,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.88 : 10,044 = 6,348.24 : x
  2. Step 2: Convert to fraction form
    7,274.88/10,044 = 6,348.24/x
  3. Step 3: Cross multiply
    7,274.88x = 10,044 × 6,348.24
  4. Step 4: Simplify right side
    7,274.88x = 63,761,722.56
  5. Step 5: Solve for x
    x = 63,761,722.56/7,274.88
  6. Step 6: Final answer
    x = 8,764.64

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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.