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Finding the Fourth Proportional to 6,378.39, 8,784.57 and 5,493.87

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Solution

The fourth proportional to 6,378.39, 8,784.57 and 5,493.87 is: 7,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.39 : 8,784.57 = 5,493.87 : x
  2. Step 2: Convert to fraction form
    6,378.39/8,784.57 = 5,493.87/x
  3. Step 3: Cross multiply
    6,378.39x = 8,784.57 × 5,493.87
  4. Step 4: Simplify right side
    6,378.39x = 48,261,285.59
  5. Step 5: Solve for x
    x = 48,261,285.59/6,378.39
  6. Step 6: Final answer
    x = 7,566.37

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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.