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Finding the Fourth Proportional to 14,135.96, 21,203.94 and 6,342.68

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Solution

The fourth proportional to 14,135.96, 21,203.94 and 6,342.68 is: 9,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.96 : 21,203.94 = 6,342.68 : x
  2. Step 2: Convert to fraction form
    14,135.96/21,203.94 = 6,342.68/x
  3. Step 3: Cross multiply
    14,135.96x = 21,203.94 × 6,342.68
  4. Step 4: Simplify right side
    14,135.96x = 134,489,806.16
  5. Step 5: Solve for x
    x = 134,489,806.16/14,135.96
  6. Step 6: Final answer
    x = 9,514.02

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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.