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Finding the Fourth Proportional to 5,694.10, 8,541.15 and 5,475.40

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Solution

The fourth proportional to 5,694.10, 8,541.15 and 5,475.40 is: 8,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.10 : 8,541.15 = 5,475.40 : x
  2. Step 2: Convert to fraction form
    5,694.10/8,541.15 = 5,475.40/x
  3. Step 3: Cross multiply
    5,694.10x = 8,541.15 × 5,475.40
  4. Step 4: Simplify right side
    5,694.10x = 46,766,212.71
  5. Step 5: Solve for x
    x = 46,766,212.71/5,694.10
  6. Step 6: Final answer
    x = 8,213.10

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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.