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Finding the Fourth Proportional to 10,598.49, 14,624.25 and 6,060.38

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Solution

The fourth proportional to 10,598.49, 14,624.25 and 6,060.38 is: 8,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.49 : 14,624.25 = 6,060.38 : x
  2. Step 2: Convert to fraction form
    10,598.49/14,624.25 = 6,060.38/x
  3. Step 3: Cross multiply
    10,598.49x = 14,624.25 × 6,060.38
  4. Step 4: Simplify right side
    10,598.49x = 88,628,439.09
  5. Step 5: Solve for x
    x = 88,628,439.09/10,598.49
  6. Step 6: Final answer
    x = 8,362.36

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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.