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Finding the Fourth Proportional to 8,311.10, 12,442.35 and 8,068.10

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Solution

The fourth proportional to 8,311.10, 12,442.35 and 8,068.10 is: 12,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.10 : 12,442.35 = 8,068.10 : x
  2. Step 2: Convert to fraction form
    8,311.10/12,442.35 = 8,068.10/x
  3. Step 3: Cross multiply
    8,311.10x = 12,442.35 × 8,068.10
  4. Step 4: Simplify right side
    8,311.10x = 100,386,124.04
  5. Step 5: Solve for x
    x = 100,386,124.04/8,311.10
  6. Step 6: Final answer
    x = 12,078.56

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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.