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Finding the Fourth Proportional to 15,090.51, 20,827.37 and 8,378.31

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Solution

The fourth proportional to 15,090.51, 20,827.37 and 8,378.31 is: 11,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.51 : 20,827.37 = 8,378.31 : x
  2. Step 2: Convert to fraction form
    15,090.51/20,827.37 = 8,378.31/x
  3. Step 3: Cross multiply
    15,090.51x = 20,827.37 × 8,378.31
  4. Step 4: Simplify right side
    15,090.51x = 174,498,162.34
  5. Step 5: Solve for x
    x = 174,498,162.34/15,090.51
  6. Step 6: Final answer
    x = 11,563.44

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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.