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Finding the Fourth Proportional to 8,684.64, 11,984.72 and 4,705.76

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Solution

The fourth proportional to 8,684.64, 11,984.72 and 4,705.76 is: 6,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.64 : 11,984.72 = 4,705.76 : x
  2. Step 2: Convert to fraction form
    8,684.64/11,984.72 = 4,705.76/x
  3. Step 3: Cross multiply
    8,684.64x = 11,984.72 × 4,705.76
  4. Step 4: Simplify right side
    8,684.64x = 56,397,215.99
  5. Step 5: Solve for x
    x = 56,397,215.99/8,684.64
  6. Step 6: Final answer
    x = 6,493.90

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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.