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Finding the Fourth Proportional to 10,398.56, 15,606.06 and 4,849.06

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Solution

The fourth proportional to 10,398.56, 15,606.06 and 4,849.06 is: 7,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.56 : 15,606.06 = 4,849.06 : x
  2. Step 2: Convert to fraction form
    10,398.56/15,606.06 = 4,849.06/x
  3. Step 3: Cross multiply
    10,398.56x = 15,606.06 × 4,849.06
  4. Step 4: Simplify right side
    10,398.56x = 75,674,721.30
  5. Step 5: Solve for x
    x = 75,674,721.30/10,398.56
  6. Step 6: Final answer
    x = 7,277.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.