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Finding the Fourth Proportional to 8,527.74, 11,771.94 and 5,734.86

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Solution

The fourth proportional to 8,527.74, 11,771.94 and 5,734.86 is: 7,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.74 : 11,771.94 = 5,734.86 : x
  2. Step 2: Convert to fraction form
    8,527.74/11,771.94 = 5,734.86/x
  3. Step 3: Cross multiply
    8,527.74x = 11,771.94 × 5,734.86
  4. Step 4: Simplify right side
    8,527.74x = 67,510,427.83
  5. Step 5: Solve for x
    x = 67,510,427.83/8,527.74
  6. Step 6: Final answer
    x = 7,916.57

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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.