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Finding the Fourth Proportional to 10,646.90, 14,694.44 and 6,173.24

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Solution

The fourth proportional to 10,646.90, 14,694.44 and 6,173.24 is: 8,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.90 : 14,694.44 = 6,173.24 : x
  2. Step 2: Convert to fraction form
    10,646.90/14,694.44 = 6,173.24/x
  3. Step 3: Cross multiply
    10,646.90x = 14,694.44 × 6,173.24
  4. Step 4: Simplify right side
    10,646.90x = 90,712,304.79
  5. Step 5: Solve for x
    x = 90,712,304.79/10,646.90
  6. Step 6: Final answer
    x = 8,520.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.