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Finding the Fourth Proportional to 5,972.94, 8,974.05 and 5,641.38

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Solution

The fourth proportional to 5,972.94, 8,974.05 and 5,641.38 is: 8,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.94 : 8,974.05 = 5,641.38 : x
  2. Step 2: Convert to fraction form
    5,972.94/8,974.05 = 5,641.38/x
  3. Step 3: Cross multiply
    5,972.94x = 8,974.05 × 5,641.38
  4. Step 4: Simplify right side
    5,972.94x = 50,626,026.19
  5. Step 5: Solve for x
    x = 50,626,026.19/5,972.94
  6. Step 6: Final answer
    x = 8,475.90

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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.