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Finding the Fourth Proportional to 8,582.70, 12,874.05 and 3,042.30

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Solution

The fourth proportional to 8,582.70, 12,874.05 and 3,042.30 is: 4,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.70 : 12,874.05 = 3,042.30 : x
  2. Step 2: Convert to fraction form
    8,582.70/12,874.05 = 3,042.30/x
  3. Step 3: Cross multiply
    8,582.70x = 12,874.05 × 3,042.30
  4. Step 4: Simplify right side
    8,582.70x = 39,166,722.32
  5. Step 5: Solve for x
    x = 39,166,722.32/8,582.70
  6. Step 6: Final answer
    x = 4,563.45

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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.