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Finding the Fourth Proportional to 10,209.60, 14,089.14 and 6,230.04

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Solution

The fourth proportional to 10,209.60, 14,089.14 and 6,230.04 is: 8,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.60 : 14,089.14 = 6,230.04 : x
  2. Step 2: Convert to fraction form
    10,209.60/14,089.14 = 6,230.04/x
  3. Step 3: Cross multiply
    10,209.60x = 14,089.14 × 6,230.04
  4. Step 4: Simplify right side
    10,209.60x = 87,775,905.77
  5. Step 5: Solve for x
    x = 87,775,905.77/10,209.60
  6. Step 6: Final answer
    x = 8,597.39

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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.