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Finding the Fourth Proportional to 6,612.96, 9,137.49 and 5,207.82

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Solution

The fourth proportional to 6,612.96, 9,137.49 and 5,207.82 is: 7,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612.96 : 9,137.49 = 5,207.82 : x
  2. Step 2: Convert to fraction form
    6,612.96/9,137.49 = 5,207.82/x
  3. Step 3: Cross multiply
    6,612.96x = 9,137.49 × 5,207.82
  4. Step 4: Simplify right side
    6,612.96x = 47,586,403.17
  5. Step 5: Solve for x
    x = 47,586,403.17/6,612.96
  6. Step 6: Final answer
    x = 7,195.93

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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.