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Finding the Fourth Proportional to 6,698.50, 10,059.09 and 4,362.46

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Solution

The fourth proportional to 6,698.50, 10,059.09 and 4,362.46 is: 6,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.50 : 10,059.09 = 4,362.46 : x
  2. Step 2: Convert to fraction form
    6,698.50/10,059.09 = 4,362.46/x
  3. Step 3: Cross multiply
    6,698.50x = 10,059.09 × 4,362.46
  4. Step 4: Simplify right side
    6,698.50x = 43,882,377.76
  5. Step 5: Solve for x
    x = 43,882,377.76/6,698.50
  6. Step 6: Final answer
    x = 6,551.08

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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.