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Finding the Fourth Proportional to 7,570.63, 10,447.97 and 4,213.44

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Solution

The fourth proportional to 7,570.63, 10,447.97 and 4,213.44 is: 5,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.63 : 10,447.97 = 4,213.44 : x
  2. Step 2: Convert to fraction form
    7,570.63/10,447.97 = 4,213.44/x
  3. Step 3: Cross multiply
    7,570.63x = 10,447.97 × 4,213.44
  4. Step 4: Simplify right side
    7,570.63x = 44,021,821.41
  5. Step 5: Solve for x
    x = 44,021,821.41/7,570.63
  6. Step 6: Final answer
    x = 5,814.82

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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.