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Finding the Fourth Proportional to 5,709.93, 7,884.54 and 4,770.73

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Solution

The fourth proportional to 5,709.93, 7,884.54 and 4,770.73 is: 6,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.93 : 7,884.54 = 4,770.73 : x
  2. Step 2: Convert to fraction form
    5,709.93/7,884.54 = 4,770.73/x
  3. Step 3: Cross multiply
    5,709.93x = 7,884.54 × 4,770.73
  4. Step 4: Simplify right side
    5,709.93x = 37,615,021.37
  5. Step 5: Solve for x
    x = 37,615,021.37/5,709.93
  6. Step 6: Final answer
    x = 6,587.65

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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.