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Finding the Fourth Proportional to 12,169.41, 16,793.88 and 7,133.76

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Solution

The fourth proportional to 12,169.41, 16,793.88 and 7,133.76 is: 9,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.41 : 16,793.88 = 7,133.76 : x
  2. Step 2: Convert to fraction form
    12,169.41/16,793.88 = 7,133.76/x
  3. Step 3: Cross multiply
    12,169.41x = 16,793.88 × 7,133.76
  4. Step 4: Simplify right side
    12,169.41x = 119,803,509.39
  5. Step 5: Solve for x
    x = 119,803,509.39/12,169.41
  6. Step 6: Final answer
    x = 9,844.64

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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.