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Finding the Fourth Proportional to 6,934.85, 9,573.26 and 4,420.41

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Solution

The fourth proportional to 6,934.85, 9,573.26 and 4,420.41 is: 6,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.85 : 9,573.26 = 4,420.41 : x
  2. Step 2: Convert to fraction form
    6,934.85/9,573.26 = 4,420.41/x
  3. Step 3: Cross multiply
    6,934.85x = 9,573.26 × 4,420.41
  4. Step 4: Simplify right side
    6,934.85x = 42,317,676.23
  5. Step 5: Solve for x
    x = 42,317,676.23/6,934.85
  6. Step 6: Final answer
    x = 6,102.18

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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.