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Finding the Fourth Proportional to 8,541.06, 12,811.65 and 8,169.30

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Solution

The fourth proportional to 8,541.06, 12,811.65 and 8,169.30 is: 12,254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.06 : 12,811.65 = 8,169.30 : x
  2. Step 2: Convert to fraction form
    8,541.06/12,811.65 = 8,169.30/x
  3. Step 3: Cross multiply
    8,541.06x = 12,811.65 × 8,169.30
  4. Step 4: Simplify right side
    8,541.06x = 104,662,212.35
  5. Step 5: Solve for x
    x = 104,662,212.35/8,541.06
  6. Step 6: Final answer
    x = 12,254.01

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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.