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Finding the Fourth Proportional to 12,152.64, 16,770.48 and 6,846.72

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Solution

The fourth proportional to 12,152.64, 16,770.48 and 6,846.72 is: 9,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.64 : 16,770.48 = 6,846.72 : x
  2. Step 2: Convert to fraction form
    12,152.64/16,770.48 = 6,846.72/x
  3. Step 3: Cross multiply
    12,152.64x = 16,770.48 × 6,846.72
  4. Step 4: Simplify right side
    12,152.64x = 114,822,780.83
  5. Step 5: Solve for x
    x = 114,822,780.83/12,152.64
  6. Step 6: Final answer
    x = 9,448.38

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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.