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Finding the Fourth Proportional to 5,633.92, 7,777 and 5,043.42

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Solution

The fourth proportional to 5,633.92, 7,777 and 5,043.42 is: 6,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.92 : 7,777 = 5,043.42 : x
  2. Step 2: Convert to fraction form
    5,633.92/7,777 = 5,043.42/x
  3. Step 3: Cross multiply
    5,633.92x = 7,777 × 5,043.42
  4. Step 4: Simplify right side
    5,633.92x = 39,222,677.34
  5. Step 5: Solve for x
    x = 39,222,677.34/5,633.92
  6. Step 6: Final answer
    x = 6,961.88

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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.