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Finding the Fourth Proportional to 6,972.08, 10,446.97 and 6,263.96

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Solution

The fourth proportional to 6,972.08, 10,446.97 and 6,263.96 is: 9,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.08 : 10,446.97 = 6,263.96 : x
  2. Step 2: Convert to fraction form
    6,972.08/10,446.97 = 6,263.96/x
  3. Step 3: Cross multiply
    6,972.08x = 10,446.97 × 6,263.96
  4. Step 4: Simplify right side
    6,972.08x = 65,439,365.63
  5. Step 5: Solve for x
    x = 65,439,365.63/6,972.08
  6. Step 6: Final answer
    x = 9,385.91

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1.5x scale

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.