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Finding the Fourth Proportional to 14,658.54, 20,228.72 and 7,944.34

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Solution

The fourth proportional to 14,658.54, 20,228.72 and 7,944.34 is: 10,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.54 : 20,228.72 = 7,944.34 : x
  2. Step 2: Convert to fraction form
    14,658.54/20,228.72 = 7,944.34/x
  3. Step 3: Cross multiply
    14,658.54x = 20,228.72 × 7,944.34
  4. Step 4: Simplify right side
    14,658.54x = 160,703,829.44
  5. Step 5: Solve for x
    x = 160,703,829.44/14,658.54
  6. Step 6: Final answer
    x = 10,963.15

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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.