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Finding the Fourth Proportional to 8,534.34, 11,777 and 4,757.92

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Solution

The fourth proportional to 8,534.34, 11,777 and 4,757.92 is: 6,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.34 : 11,777 = 4,757.92 : x
  2. Step 2: Convert to fraction form
    8,534.34/11,777 = 4,757.92/x
  3. Step 3: Cross multiply
    8,534.34x = 11,777 × 4,757.92
  4. Step 4: Simplify right side
    8,534.34x = 56,034,023.84
  5. Step 5: Solve for x
    x = 56,034,023.84/8,534.34
  6. Step 6: Final answer
    x = 6,565.71

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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.