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Finding the Fourth Proportional to 10,574.50, 14,586.06 and 6,796.39

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Solution

The fourth proportional to 10,574.50, 14,586.06 and 6,796.39 is: 9,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.50 : 14,586.06 = 6,796.39 : x
  2. Step 2: Convert to fraction form
    10,574.50/14,586.06 = 6,796.39/x
  3. Step 3: Cross multiply
    10,574.50x = 14,586.06 × 6,796.39
  4. Step 4: Simplify right side
    10,574.50x = 99,132,552.32
  5. Step 5: Solve for x
    x = 99,132,552.32/10,574.50
  6. Step 6: Final answer
    x = 9,374.68

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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.