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Finding the Fourth Proportional to 7,775.75, 10,724.74 and 6,093.81

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Solution

The fourth proportional to 7,775.75, 10,724.74 and 6,093.81 is: 8,404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.75 : 10,724.74 = 6,093.81 : x
  2. Step 2: Convert to fraction form
    7,775.75/10,724.74 = 6,093.81/x
  3. Step 3: Cross multiply
    7,775.75x = 10,724.74 × 6,093.81
  4. Step 4: Simplify right side
    7,775.75x = 65,354,527.86
  5. Step 5: Solve for x
    x = 65,354,527.86/7,775.75
  6. Step 6: Final answer
    x = 8,404.92

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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.