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Finding the Fourth Proportional to 11,846.40, 16,348.02 and 6,811.61

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Solution

The fourth proportional to 11,846.40, 16,348.02 and 6,811.61 is: 9,400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.40 : 16,348.02 = 6,811.61 : x
  2. Step 2: Convert to fraction form
    11,846.40/16,348.02 = 6,811.61/x
  3. Step 3: Cross multiply
    11,846.40x = 16,348.02 × 6,811.61
  4. Step 4: Simplify right side
    11,846.40x = 111,356,254.77
  5. Step 5: Solve for x
    x = 111,356,254.77/11,846.40
  6. Step 6: Final answer
    x = 9,400.01

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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.