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Finding the Fourth Proportional to 13,703.80, 18,898.14 and 8,327.12

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Solution

The fourth proportional to 13,703.80, 18,898.14 and 8,327.12 is: 11,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.80 : 18,898.14 = 8,327.12 : x
  2. Step 2: Convert to fraction form
    13,703.80/18,898.14 = 8,327.12/x
  3. Step 3: Cross multiply
    13,703.80x = 18,898.14 × 8,327.12
  4. Step 4: Simplify right side
    13,703.80x = 157,367,079.56
  5. Step 5: Solve for x
    x = 157,367,079.56/13,703.80
  6. Step 6: Final answer
    x = 11,483.46

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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.