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Finding the Fourth Proportional to 14,606.31, 21,909.41 and 4,076.31

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Solution

The fourth proportional to 14,606.31, 21,909.41 and 4,076.31 is: 6,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.31 : 21,909.41 = 4,076.31 : x
  2. Step 2: Convert to fraction form
    14,606.31/21,909.41 = 4,076.31/x
  3. Step 3: Cross multiply
    14,606.31x = 21,909.41 × 4,076.31
  4. Step 4: Simplify right side
    14,606.31x = 89,309,526.70
  5. Step 5: Solve for x
    x = 89,309,526.70/14,606.31
  6. Step 6: Final answer
    x = 6,114.45

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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.