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Finding the Fourth Proportional to 7,847.86, 10,829.78 and 4,310.72

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Solution

The fourth proportional to 7,847.86, 10,829.78 and 4,310.72 is: 5,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.86 : 10,829.78 = 4,310.72 : x
  2. Step 2: Convert to fraction form
    7,847.86/10,829.78 = 4,310.72/x
  3. Step 3: Cross multiply
    7,847.86x = 10,829.78 × 4,310.72
  4. Step 4: Simplify right side
    7,847.86x = 46,684,149.24
  5. Step 5: Solve for x
    x = 46,684,149.24/7,847.86
  6. Step 6: Final answer
    x = 5,948.65

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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.