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Finding the Fourth Proportional to 20,596.10, 30,894.15 and 8,116.70

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Solution

The fourth proportional to 20,596.10, 30,894.15 and 8,116.70 is: 12,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.10 : 30,894.15 = 8,116.70 : x
  2. Step 2: Convert to fraction form
    20,596.10/30,894.15 = 8,116.70/x
  3. Step 3: Cross multiply
    20,596.10x = 30,894.15 × 8,116.70
  4. Step 4: Simplify right side
    20,596.10x = 250,758,547.31
  5. Step 5: Solve for x
    x = 250,758,547.31/20,596.10
  6. Step 6: Final answer
    x = 12,175.05

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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.