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Finding the Fourth Proportional to 8,683.76, 11,983.60 and 4,704.88

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Solution

The fourth proportional to 8,683.76, 11,983.60 and 4,704.88 is: 6,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.76 : 11,983.60 = 4,704.88 : x
  2. Step 2: Convert to fraction form
    8,683.76/11,983.60 = 4,704.88/x
  3. Step 3: Cross multiply
    8,683.76x = 11,983.60 × 4,704.88
  4. Step 4: Simplify right side
    8,683.76x = 56,381,399.97
  5. Step 5: Solve for x
    x = 56,381,399.97/8,683.76
  6. Step 6: Final answer
    x = 6,492.74

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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.