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Finding the Fourth Proportional to 5,412.34, 8,062.97 and 5,213.94

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Solution

The fourth proportional to 5,412.34, 8,062.97 and 5,213.94 is: 7,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.34 : 8,062.97 = 5,213.94 : x
  2. Step 2: Convert to fraction form
    5,412.34/8,062.97 = 5,213.94/x
  3. Step 3: Cross multiply
    5,412.34x = 8,062.97 × 5,213.94
  4. Step 4: Simplify right side
    5,412.34x = 42,039,841.80
  5. Step 5: Solve for x
    x = 42,039,841.80/5,412.34
  6. Step 6: Final answer
    x = 7,767.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.