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Finding the Fourth Proportional to 8,705.30, 12,023.10 and 5,884.31

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Solution

The fourth proportional to 8,705.30, 12,023.10 and 5,884.31 is: 8,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.30 : 12,023.10 = 5,884.31 : x
  2. Step 2: Convert to fraction form
    8,705.30/12,023.10 = 5,884.31/x
  3. Step 3: Cross multiply
    8,705.30x = 12,023.10 × 5,884.31
  4. Step 4: Simplify right side
    8,705.30x = 70,747,677.62
  5. Step 5: Solve for x
    x = 70,747,677.62/8,705.30
  6. Step 6: Final answer
    x = 8,126.97

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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.