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Finding the Fourth Proportional to 6,277.98, 9,416.97 and 4,557.54

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Solution

The fourth proportional to 6,277.98, 9,416.97 and 4,557.54 is: 6,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.98 : 9,416.97 = 4,557.54 : x
  2. Step 2: Convert to fraction form
    6,277.98/9,416.97 = 4,557.54/x
  3. Step 3: Cross multiply
    6,277.98x = 9,416.97 × 4,557.54
  4. Step 4: Simplify right side
    6,277.98x = 42,918,217.45
  5. Step 5: Solve for x
    x = 42,918,217.45/6,277.98
  6. Step 6: Final answer
    x = 6,836.31

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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.