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Finding the Fourth Proportional to 10,698.58, 14,759.13 and 6,922.98

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Solution

The fourth proportional to 10,698.58, 14,759.13 and 6,922.98 is: 9,550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.58 : 14,759.13 = 6,922.98 : x
  2. Step 2: Convert to fraction form
    10,698.58/14,759.13 = 6,922.98/x
  3. Step 3: Cross multiply
    10,698.58x = 14,759.13 × 6,922.98
  4. Step 4: Simplify right side
    10,698.58x = 102,177,161.81
  5. Step 5: Solve for x
    x = 102,177,161.81/10,698.58
  6. Step 6: Final answer
    x = 9,550.53

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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.