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Finding the Fourth Proportional to 10,297.56, 15,450.30 and 4,060.56

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Solution

The fourth proportional to 10,297.56, 15,450.30 and 4,060.56 is: 6,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.56 : 15,450.30 = 4,060.56 : x
  2. Step 2: Convert to fraction form
    10,297.56/15,450.30 = 4,060.56/x
  3. Step 3: Cross multiply
    10,297.56x = 15,450.30 × 4,060.56
  4. Step 4: Simplify right side
    10,297.56x = 62,736,870.17
  5. Step 5: Solve for x
    x = 62,736,870.17/10,297.56
  6. Step 6: Final answer
    x = 6,092.40

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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.