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Finding the Fourth Proportional to 9,310.86, 12,849.60 and 5,776.44

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Solution

The fourth proportional to 9,310.86, 12,849.60 and 5,776.44 is: 7,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.86 : 12,849.60 = 5,776.44 : x
  2. Step 2: Convert to fraction form
    9,310.86/12,849.60 = 5,776.44/x
  3. Step 3: Cross multiply
    9,310.86x = 12,849.60 × 5,776.44
  4. Step 4: Simplify right side
    9,310.86x = 74,224,943.42
  5. Step 5: Solve for x
    x = 74,224,943.42/9,310.86
  6. Step 6: Final answer
    x = 7,971.87

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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.