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Finding the Fourth Proportional to 14,673.86, 20,237.61 and 9,634.22

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Solution

The fourth proportional to 14,673.86, 20,237.61 and 9,634.22 is: 13,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673.86 : 20,237.61 = 9,634.22 : x
  2. Step 2: Convert to fraction form
    14,673.86/20,237.61 = 9,634.22/x
  3. Step 3: Cross multiply
    14,673.86x = 20,237.61 × 9,634.22
  4. Step 4: Simplify right side
    14,673.86x = 194,973,587.01
  5. Step 5: Solve for x
    x = 194,973,587.01/14,673.86
  6. Step 6: Final answer
    x = 13,287.14

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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.