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Finding the Fourth Proportional to 8,684.68, 11,984.76 and 4,705.74

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Solution

The fourth proportional to 8,684.68, 11,984.76 and 4,705.74 is: 6,493.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.68 : 11,984.76 = 4,705.74 : x
  2. Step 2: Convert to fraction form
    8,684.68/11,984.76 = 4,705.74/x
  3. Step 3: Cross multiply
    8,684.68x = 11,984.76 × 4,705.74
  4. Step 4: Simplify right side
    8,684.68x = 56,397,164.52
  5. Step 5: Solve for x
    x = 56,397,164.52/8,684.68
  6. Step 6: Final answer
    x = 6,493.87

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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.