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Finding the Fourth Proportional to 14,685.71, 20,266.50 and 7,971.31

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Solution

The fourth proportional to 14,685.71, 20,266.50 and 7,971.31 is: 11,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685.71 : 20,266.50 = 7,971.31 : x
  2. Step 2: Convert to fraction form
    14,685.71/20,266.50 = 7,971.31/x
  3. Step 3: Cross multiply
    14,685.71x = 20,266.50 × 7,971.31
  4. Step 4: Simplify right side
    14,685.71x = 161,550,609.34
  5. Step 5: Solve for x
    x = 161,550,609.34/14,685.71
  6. Step 6: Final answer
    x = 11,000.53

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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.