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Finding the Fourth Proportional to 10,590.87, 14,617.31 and 6,114

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Solution

The fourth proportional to 10,590.87, 14,617.31 and 6,114 is: 8,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.87 : 14,617.31 = 6,114 : x
  2. Step 2: Convert to fraction form
    10,590.87/14,617.31 = 6,114/x
  3. Step 3: Cross multiply
    10,590.87x = 14,617.31 × 6,114
  4. Step 4: Simplify right side
    10,590.87x = 89,370,202.77
  5. Step 5: Solve for x
    x = 89,370,202.77/10,590.87
  6. Step 6: Final answer
    x = 8,438.42

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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.