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Finding the Fourth Proportional to 6,974.57, 9,620.39 and 4,457.45

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Solution

The fourth proportional to 6,974.57, 9,620.39 and 4,457.45 is: 6,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.57 : 9,620.39 = 4,457.45 : x
  2. Step 2: Convert to fraction form
    6,974.57/9,620.39 = 4,457.45/x
  3. Step 3: Cross multiply
    6,974.57x = 9,620.39 × 4,457.45
  4. Step 4: Simplify right side
    6,974.57x = 42,882,385.12
  5. Step 5: Solve for x
    x = 42,882,385.12/6,974.57
  6. Step 6: Final answer
    x = 6,148.39

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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.