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Finding the Fourth Proportional to 6,595.34, 9,895.03 and 2,212.43

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Solution

The fourth proportional to 6,595.34, 9,895.03 and 2,212.43 is: 3,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.34 : 9,895.03 = 2,212.43 : x
  2. Step 2: Convert to fraction form
    6,595.34/9,895.03 = 2,212.43/x
  3. Step 3: Cross multiply
    6,595.34x = 9,895.03 × 2,212.43
  4. Step 4: Simplify right side
    6,595.34x = 21,892,006.22
  5. Step 5: Solve for x
    x = 21,892,006.22/6,595.34
  6. Step 6: Final answer
    x = 3,319.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.