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Finding the Fourth Proportional to 8,922.04, 12,314.48 and 5,938

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Solution

The fourth proportional to 8,922.04, 12,314.48 and 5,938 is: 8,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.04 : 12,314.48 = 5,938 : x
  2. Step 2: Convert to fraction form
    8,922.04/12,314.48 = 5,938/x
  3. Step 3: Cross multiply
    8,922.04x = 12,314.48 × 5,938
  4. Step 4: Simplify right side
    8,922.04x = 73,123,382.24
  5. Step 5: Solve for x
    x = 73,123,382.24/8,922.04
  6. Step 6: Final answer
    x = 8,195.81

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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.