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Finding the Fourth Proportional to 8,465.76, 12,684.20 and 5,996.48

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Solution

The fourth proportional to 8,465.76, 12,684.20 and 5,996.48 is: 8,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.76 : 12,684.20 = 5,996.48 : x
  2. Step 2: Convert to fraction form
    8,465.76/12,684.20 = 5,996.48/x
  3. Step 3: Cross multiply
    8,465.76x = 12,684.20 × 5,996.48
  4. Step 4: Simplify right side
    8,465.76x = 76,060,458.21
  5. Step 5: Solve for x
    x = 76,060,458.21/8,465.76
  6. Step 6: Final answer
    x = 8,984.48

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.