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Finding the Fourth Proportional to 6,494.43, 9,750.03 and 5,575.89

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Solution

The fourth proportional to 6,494.43, 9,750.03 and 5,575.89 is: 8,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.43 : 9,750.03 = 5,575.89 : x
  2. Step 2: Convert to fraction form
    6,494.43/9,750.03 = 5,575.89/x
  3. Step 3: Cross multiply
    6,494.43x = 9,750.03 × 5,575.89
  4. Step 4: Simplify right side
    6,494.43x = 54,365,094.78
  5. Step 5: Solve for x
    x = 54,365,094.78/6,494.43
  6. Step 6: Final answer
    x = 8,371.03

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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.