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Finding the Fourth Proportional to 12,261.71, 16,923.06 and 7,227.56

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Solution

The fourth proportional to 12,261.71, 16,923.06 and 7,227.56 is: 9,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.71 : 16,923.06 = 7,227.56 : x
  2. Step 2: Convert to fraction form
    12,261.71/16,923.06 = 7,227.56/x
  3. Step 3: Cross multiply
    12,261.71x = 16,923.06 × 7,227.56
  4. Step 4: Simplify right side
    12,261.71x = 122,312,473.84
  5. Step 5: Solve for x
    x = 122,312,473.84/12,261.71
  6. Step 6: Final answer
    x = 9,975.15

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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.