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Finding the Fourth Proportional to 5,984.64, 8,262.24 and 4,001.76

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Solution

The fourth proportional to 5,984.64, 8,262.24 and 4,001.76 is: 5,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.64 : 8,262.24 = 4,001.76 : x
  2. Step 2: Convert to fraction form
    5,984.64/8,262.24 = 4,001.76/x
  3. Step 3: Cross multiply
    5,984.64x = 8,262.24 × 4,001.76
  4. Step 4: Simplify right side
    5,984.64x = 33,063,501.54
  5. Step 5: Solve for x
    x = 33,063,501.54/5,984.64
  6. Step 6: Final answer
    x = 5,524.73

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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.