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Finding the Fourth Proportional to 10,297.62, 14,210.10 and 6,048.36

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Solution

The fourth proportional to 10,297.62, 14,210.10 and 6,048.36 is: 8,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.62 : 14,210.10 = 6,048.36 : x
  2. Step 2: Convert to fraction form
    10,297.62/14,210.10 = 6,048.36/x
  3. Step 3: Cross multiply
    10,297.62x = 14,210.10 × 6,048.36
  4. Step 4: Simplify right side
    10,297.62x = 85,947,800.44
  5. Step 5: Solve for x
    x = 85,947,800.44/10,297.62
  6. Step 6: Final answer
    x = 8,346.38

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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.