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Finding the Fourth Proportional to 10,713.76, 14,785.10 and 5,933.85

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Solution

The fourth proportional to 10,713.76, 14,785.10 and 5,933.85 is: 8,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.76 : 14,785.10 = 5,933.85 : x
  2. Step 2: Convert to fraction form
    10,713.76/14,785.10 = 5,933.85/x
  3. Step 3: Cross multiply
    10,713.76x = 14,785.10 × 5,933.85
  4. Step 4: Simplify right side
    10,713.76x = 87,732,565.64
  5. Step 5: Solve for x
    x = 87,732,565.64/10,713.76
  6. Step 6: Final answer
    x = 8,188.77

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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.