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Finding the Fourth Proportional to 6,956.98, 9,600.56 and 3,813.10

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Solution

The fourth proportional to 6,956.98, 9,600.56 and 3,813.10 is: 5,262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.98 : 9,600.56 = 3,813.10 : x
  2. Step 2: Convert to fraction form
    6,956.98/9,600.56 = 3,813.10/x
  3. Step 3: Cross multiply
    6,956.98x = 9,600.56 × 3,813.10
  4. Step 4: Simplify right side
    6,956.98x = 36,607,895.34
  5. Step 5: Solve for x
    x = 36,607,895.34/6,956.98
  6. Step 6: Final answer
    x = 5,262.04

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1.5x scale

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.