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Finding the Fourth Proportional to 6,966.90, 9,619.38 and 4,453.07

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Solution

The fourth proportional to 6,966.90, 9,619.38 and 4,453.07 is: 6,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.90 : 9,619.38 = 4,453.07 : x
  2. Step 2: Convert to fraction form
    6,966.90/9,619.38 = 4,453.07/x
  3. Step 3: Cross multiply
    6,966.90x = 9,619.38 × 4,453.07
  4. Step 4: Simplify right side
    6,966.90x = 42,835,724.40
  5. Step 5: Solve for x
    x = 42,835,724.40/6,966.90
  6. Step 6: Final answer
    x = 6,148.46

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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.