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Finding the Fourth Proportional to 8,155.80, 12,234.72 and 2,312.40

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Solution

The fourth proportional to 8,155.80, 12,234.72 and 2,312.40 is: 3,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.80 : 12,234.72 = 2,312.40 : x
  2. Step 2: Convert to fraction form
    8,155.80/12,234.72 = 2,312.40/x
  3. Step 3: Cross multiply
    8,155.80x = 12,234.72 × 2,312.40
  4. Step 4: Simplify right side
    8,155.80x = 28,291,566.53
  5. Step 5: Solve for x
    x = 28,291,566.53/8,155.80
  6. Step 6: Final answer
    x = 3,468.89

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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.