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Finding the Fourth Proportional to 12,312.10, 18,442.15 and 8,154.10

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Solution

The fourth proportional to 12,312.10, 18,442.15 and 8,154.10 is: 12,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.10 : 18,442.15 = 8,154.10 : x
  2. Step 2: Convert to fraction form
    12,312.10/18,442.15 = 8,154.10/x
  3. Step 3: Cross multiply
    12,312.10x = 18,442.15 × 8,154.10
  4. Step 4: Simplify right side
    12,312.10x = 150,379,135.32
  5. Step 5: Solve for x
    x = 150,379,135.32/12,312.10
  6. Step 6: Final answer
    x = 12,213.93

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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.