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Finding the Fourth Proportional to 10,680.12, 14,740.74 and 6,698.34

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Solution

The fourth proportional to 10,680.12, 14,740.74 and 6,698.34 is: 9,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.12 : 14,740.74 = 6,698.34 : x
  2. Step 2: Convert to fraction form
    10,680.12/14,740.74 = 6,698.34/x
  3. Step 3: Cross multiply
    10,680.12x = 14,740.74 × 6,698.34
  4. Step 4: Simplify right side
    10,680.12x = 98,738,488.37
  5. Step 5: Solve for x
    x = 98,738,488.37/10,680.12
  6. Step 6: Final answer
    x = 9,245.07

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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.