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Finding the Fourth Proportional to 6,695.35, 9,234.38 and 4,572.58

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Solution

The fourth proportional to 6,695.35, 9,234.38 and 4,572.58 is: 6,306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.35 : 9,234.38 = 4,572.58 : x
  2. Step 2: Convert to fraction form
    6,695.35/9,234.38 = 4,572.58/x
  3. Step 3: Cross multiply
    6,695.35x = 9,234.38 × 4,572.58
  4. Step 4: Simplify right side
    6,695.35x = 42,224,941.30
  5. Step 5: Solve for x
    x = 42,224,941.30/6,695.35
  6. Step 6: Final answer
    x = 6,306.61

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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.