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Finding the Fourth Proportional to 8,414.92, 12,615.90 and 4,030.12

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Solution

The fourth proportional to 8,414.92, 12,615.90 and 4,030.12 is: 6,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.92 : 12,615.90 = 4,030.12 : x
  2. Step 2: Convert to fraction form
    8,414.92/12,615.90 = 4,030.12/x
  3. Step 3: Cross multiply
    8,414.92x = 12,615.90 × 4,030.12
  4. Step 4: Simplify right side
    8,414.92x = 50,843,590.91
  5. Step 5: Solve for x
    x = 50,843,590.91/8,414.92
  6. Step 6: Final answer
    x = 6,042.08

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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.