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Finding the Fourth Proportional to 14,971.80, 20,649.42 and 9,667.92

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Solution

The fourth proportional to 14,971.80, 20,649.42 and 9,667.92 is: 13,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.80 : 20,649.42 = 9,667.92 : x
  2. Step 2: Convert to fraction form
    14,971.80/20,649.42 = 9,667.92/x
  3. Step 3: Cross multiply
    14,971.80x = 20,649.42 × 9,667.92
  4. Step 4: Simplify right side
    14,971.80x = 199,636,940.61
  5. Step 5: Solve for x
    x = 199,636,940.61/14,971.80
  6. Step 6: Final answer
    x = 13,334.20

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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.