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Finding the Fourth Proportional to 14,261.76, 21,400.32 and 5,947.48

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Solution

The fourth proportional to 14,261.76, 21,400.32 and 5,947.48 is: 8,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.76 : 21,400.32 = 5,947.48 : x
  2. Step 2: Convert to fraction form
    14,261.76/21,400.32 = 5,947.48/x
  3. Step 3: Cross multiply
    14,261.76x = 21,400.32 × 5,947.48
  4. Step 4: Simplify right side
    14,261.76x = 127,277,975.19
  5. Step 5: Solve for x
    x = 127,277,975.19/14,261.76
  6. Step 6: Final answer
    x = 8,924.42

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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.