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Finding the Fourth Proportional to 5,197.80, 7,164.77 and 4,768.77

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Solution

The fourth proportional to 5,197.80, 7,164.77 and 4,768.77 is: 6,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.80 : 7,164.77 = 4,768.77 : x
  2. Step 2: Convert to fraction form
    5,197.80/7,164.77 = 4,768.77/x
  3. Step 3: Cross multiply
    5,197.80x = 7,164.77 × 4,768.77
  4. Step 4: Simplify right side
    5,197.80x = 34,167,116.39
  5. Step 5: Solve for x
    x = 34,167,116.39/5,197.80
  6. Step 6: Final answer
    x = 6,573.38

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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.