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Finding the Fourth Proportional to 12,070.42, 16,657.26 and 6,765.46

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Solution

The fourth proportional to 12,070.42, 16,657.26 and 6,765.46 is: 9,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.42 : 16,657.26 = 6,765.46 : x
  2. Step 2: Convert to fraction form
    12,070.42/16,657.26 = 6,765.46/x
  3. Step 3: Cross multiply
    12,070.42x = 16,657.26 × 6,765.46
  4. Step 4: Simplify right side
    12,070.42x = 112,694,026.24
  5. Step 5: Solve for x
    x = 112,694,026.24/12,070.42
  6. Step 6: Final answer
    x = 9,336.38

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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.