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Finding the Fourth Proportional to 10,593.49, 14,612.94 and 6,607.68

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Solution

The fourth proportional to 10,593.49, 14,612.94 and 6,607.68 is: 9,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.49 : 14,612.94 = 6,607.68 : x
  2. Step 2: Convert to fraction form
    10,593.49/14,612.94 = 6,607.68/x
  3. Step 3: Cross multiply
    10,593.49x = 14,612.94 × 6,607.68
  4. Step 4: Simplify right side
    10,593.49x = 96,557,631.38
  5. Step 5: Solve for x
    x = 96,557,631.38/10,593.49
  6. Step 6: Final answer
    x = 9,114.81

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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.