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Finding the Fourth Proportional to 6,733.10, 9,290.22 and 4,374.38

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Solution

The fourth proportional to 6,733.10, 9,290.22 and 4,374.38 is: 6,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.10 : 9,290.22 = 4,374.38 : x
  2. Step 2: Convert to fraction form
    6,733.10/9,290.22 = 4,374.38/x
  3. Step 3: Cross multiply
    6,733.10x = 9,290.22 × 4,374.38
  4. Step 4: Simplify right side
    6,733.10x = 40,638,952.56
  5. Step 5: Solve for x
    x = 40,638,952.56/6,733.10
  6. Step 6: Final answer
    x = 6,035.70

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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.