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Finding the Fourth Proportional to 8,154.76, 12,232.14 and 2,311.40

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Solution

The fourth proportional to 8,154.76, 12,232.14 and 2,311.40 is: 3,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.76 : 12,232.14 = 2,311.40 : x
  2. Step 2: Convert to fraction form
    8,154.76/12,232.14 = 2,311.40/x
  3. Step 3: Cross multiply
    8,154.76x = 12,232.14 × 2,311.40
  4. Step 4: Simplify right side
    8,154.76x = 28,273,368.40
  5. Step 5: Solve for x
    x = 28,273,368.40/8,154.76
  6. Step 6: Final answer
    x = 3,467.10

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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.