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Finding the Fourth Proportional to 6,933.96, 9,554.94 and 5,884.20

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Solution

The fourth proportional to 6,933.96, 9,554.94 and 5,884.20 is: 8,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.96 : 9,554.94 = 5,884.20 : x
  2. Step 2: Convert to fraction form
    6,933.96/9,554.94 = 5,884.20/x
  3. Step 3: Cross multiply
    6,933.96x = 9,554.94 × 5,884.20
  4. Step 4: Simplify right side
    6,933.96x = 56,223,177.95
  5. Step 5: Solve for x
    x = 56,223,177.95/6,933.96
  6. Step 6: Final answer
    x = 8,108.38

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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.