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Finding the Fourth Proportional to 6,833.52, 9,435.31 and 4,184.54

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Solution

The fourth proportional to 6,833.52, 9,435.31 and 4,184.54 is: 5,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.52 : 9,435.31 = 4,184.54 : x
  2. Step 2: Convert to fraction form
    6,833.52/9,435.31 = 4,184.54/x
  3. Step 3: Cross multiply
    6,833.52x = 9,435.31 × 4,184.54
  4. Step 4: Simplify right side
    6,833.52x = 39,482,432.11
  5. Step 5: Solve for x
    x = 39,482,432.11/6,833.52
  6. Step 6: Final answer
    x = 5,777.76

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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.