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Finding the Fourth Proportional to 12,057.13, 16,637.43 and 7,278.13

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Solution

The fourth proportional to 12,057.13, 16,637.43 and 7,278.13 is: 10,042.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.13 : 16,637.43 = 7,278.13 : x
  2. Step 2: Convert to fraction form
    12,057.13/16,637.43 = 7,278.13/x
  3. Step 3: Cross multiply
    12,057.13x = 16,637.43 × 7,278.13
  4. Step 4: Simplify right side
    12,057.13x = 121,089,378.41
  5. Step 5: Solve for x
    x = 121,089,378.41/12,057.13
  6. Step 6: Final answer
    x = 10,042.97

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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.