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Finding the Fourth Proportional to 7,471.80, 11,207.38 and 2,541.40

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Solution

The fourth proportional to 7,471.80, 11,207.38 and 2,541.40 is: 3,811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.80 : 11,207.38 = 2,541.40 : x
  2. Step 2: Convert to fraction form
    7,471.80/11,207.38 = 2,541.40/x
  3. Step 3: Cross multiply
    7,471.80x = 11,207.38 × 2,541.40
  4. Step 4: Simplify right side
    7,471.80x = 28,482,435.53
  5. Step 5: Solve for x
    x = 28,482,435.53/7,471.80
  6. Step 6: Final answer
    x = 3,811.99

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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.