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Finding the Fourth Proportional to 12,151.46, 16,770.02 and 6,846.64

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Solution

The fourth proportional to 12,151.46, 16,770.02 and 6,846.64 is: 9,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.46 : 16,770.02 = 6,846.64 : x
  2. Step 2: Convert to fraction form
    12,151.46/16,770.02 = 6,846.64/x
  3. Step 3: Cross multiply
    12,151.46x = 16,770.02 × 6,846.64
  4. Step 4: Simplify right side
    12,151.46x = 114,818,213.57
  5. Step 5: Solve for x
    x = 114,818,213.57/12,151.46
  6. Step 6: Final answer
    x = 9,448.92

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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.