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Finding the Fourth Proportional to 13,652.71, 18,847.44 and 8,349.22

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Solution

The fourth proportional to 13,652.71, 18,847.44 and 8,349.22 is: 11,526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.71 : 18,847.44 = 8,349.22 : x
  2. Step 2: Convert to fraction form
    13,652.71/18,847.44 = 8,349.22/x
  3. Step 3: Cross multiply
    13,652.71x = 18,847.44 × 8,349.22
  4. Step 4: Simplify right side
    13,652.71x = 157,361,423.00
  5. Step 5: Solve for x
    x = 157,361,423.00/13,652.71
  6. Step 6: Final answer
    x = 11,526.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.