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Finding the Fourth Proportional to 8,184.48, 12,276.64 and 5,410.48

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Solution

The fourth proportional to 8,184.48, 12,276.64 and 5,410.48 is: 8,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.48 : 12,276.64 = 5,410.48 : x
  2. Step 2: Convert to fraction form
    8,184.48/12,276.64 = 5,410.48/x
  3. Step 3: Cross multiply
    8,184.48x = 12,276.64 × 5,410.48
  4. Step 4: Simplify right side
    8,184.48x = 66,422,515.19
  5. Step 5: Solve for x
    x = 66,422,515.19/8,184.48
  6. Step 6: Final answer
    x = 8,115.67

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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.