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Finding the Fourth Proportional to 4,697.86, 6,481.14 and 4,324.84

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Solution

The fourth proportional to 4,697.86, 6,481.14 and 4,324.84 is: 5,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.86 : 6,481.14 = 4,324.84 : x
  2. Step 2: Convert to fraction form
    4,697.86/6,481.14 = 4,324.84/x
  3. Step 3: Cross multiply
    4,697.86x = 6,481.14 × 4,324.84
  4. Step 4: Simplify right side
    4,697.86x = 28,029,893.52
  5. Step 5: Solve for x
    x = 28,029,893.52/4,697.86
  6. Step 6: Final answer
    x = 5,966.52

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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.