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Finding the Fourth Proportional to 10,598.38, 14,625.81 and 6,621.80

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Solution

The fourth proportional to 10,598.38, 14,625.81 and 6,621.80 is: 9,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.38 : 14,625.81 = 6,621.80 : x
  2. Step 2: Convert to fraction form
    10,598.38/14,625.81 = 6,621.80/x
  3. Step 3: Cross multiply
    10,598.38x = 14,625.81 × 6,621.80
  4. Step 4: Simplify right side
    10,598.38x = 96,849,115.53
  5. Step 5: Solve for x
    x = 96,849,115.53/10,598.38
  6. Step 6: Final answer
    x = 9,138.11

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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.