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Finding the Fourth Proportional to 6,805.96, 9,393.24 and 4,154.91

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Solution

The fourth proportional to 6,805.96, 9,393.24 and 4,154.91 is: 5,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.96 : 9,393.24 = 4,154.91 : x
  2. Step 2: Convert to fraction form
    6,805.96/9,393.24 = 4,154.91/x
  3. Step 3: Cross multiply
    6,805.96x = 9,393.24 × 4,154.91
  4. Step 4: Simplify right side
    6,805.96x = 39,028,082.39
  5. Step 5: Solve for x
    x = 39,028,082.39/6,805.96
  6. Step 6: Final answer
    x = 5,734.40

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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.