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Finding the Fourth Proportional to 10,861.10, 16,303.80 and 8,406.80

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Solution

The fourth proportional to 10,861.10, 16,303.80 and 8,406.80 is: 12,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.10 : 16,303.80 = 8,406.80 : x
  2. Step 2: Convert to fraction form
    10,861.10/16,303.80 = 8,406.80/x
  3. Step 3: Cross multiply
    10,861.10x = 16,303.80 × 8,406.80
  4. Step 4: Simplify right side
    10,861.10x = 137,062,785.84
  5. Step 5: Solve for x
    x = 137,062,785.84/10,861.10
  6. Step 6: Final answer
    x = 12,619.60

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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.