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Finding the Fourth Proportional to 6,833.58, 9,430.41 and 4,000.33

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Solution

The fourth proportional to 6,833.58, 9,430.41 and 4,000.33 is: 5,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.58 : 9,430.41 = 4,000.33 : x
  2. Step 2: Convert to fraction form
    6,833.58/9,430.41 = 4,000.33/x
  3. Step 3: Cross multiply
    6,833.58x = 9,430.41 × 4,000.33
  4. Step 4: Simplify right side
    6,833.58x = 37,724,752.04
  5. Step 5: Solve for x
    x = 37,724,752.04/6,833.58
  6. Step 6: Final answer
    x = 5,520.50

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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.