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Finding the Fourth Proportional to 7,298.96, 10,950 and 3,348.32

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Solution

The fourth proportional to 7,298.96, 10,950 and 3,348.32 is: 5,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.96 : 10,950 = 3,348.32 : x
  2. Step 2: Convert to fraction form
    7,298.96/10,950 = 3,348.32/x
  3. Step 3: Cross multiply
    7,298.96x = 10,950 × 3,348.32
  4. Step 4: Simplify right side
    7,298.96x = 36,664,104
  5. Step 5: Solve for x
    x = 36,664,104/7,298.96
  6. Step 6: Final answer
    x = 5,023.20

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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.