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Finding the Fourth Proportional to 8,683.22, 11,983 and 4,704.50

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Solution

The fourth proportional to 8,683.22, 11,983 and 4,704.50 is: 6,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.22 : 11,983 = 4,704.50 : x
  2. Step 2: Convert to fraction form
    8,683.22/11,983 = 4,704.50/x
  3. Step 3: Cross multiply
    8,683.22x = 11,983 × 4,704.50
  4. Step 4: Simplify right side
    8,683.22x = 56,374,023.50
  5. Step 5: Solve for x
    x = 56,374,023.50/8,683.22
  6. Step 6: Final answer
    x = 6,492.29

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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.