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Finding the Fourth Proportional to 6,954.50, 9,594.16 and 4,158.38

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Solution

The fourth proportional to 6,954.50, 9,594.16 and 4,158.38 is: 5,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.50 : 9,594.16 = 4,158.38 : x
  2. Step 2: Convert to fraction form
    6,954.50/9,594.16 = 4,158.38/x
  3. Step 3: Cross multiply
    6,954.50x = 9,594.16 × 4,158.38
  4. Step 4: Simplify right side
    6,954.50x = 39,896,104.69
  5. Step 5: Solve for x
    x = 39,896,104.69/6,954.50
  6. Step 6: Final answer
    x = 5,736.74

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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.