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Finding the Fourth Proportional to 7,317.92, 10,967.16 and 4,199.42

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Solution

The fourth proportional to 7,317.92, 10,967.16 and 4,199.42 is: 6,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.92 : 10,967.16 = 4,199.42 : x
  2. Step 2: Convert to fraction form
    7,317.92/10,967.16 = 4,199.42/x
  3. Step 3: Cross multiply
    7,317.92x = 10,967.16 × 4,199.42
  4. Step 4: Simplify right side
    7,317.92x = 46,055,711.05
  5. Step 5: Solve for x
    x = 46,055,711.05/7,317.92
  6. Step 6: Final answer
    x = 6,293.55

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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.