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Finding the Fourth Proportional to 12,407.70, 18,595.14 and 6,770.94

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Solution

The fourth proportional to 12,407.70, 18,595.14 and 6,770.94 is: 10,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.70 : 18,595.14 = 6,770.94 : x
  2. Step 2: Convert to fraction form
    12,407.70/18,595.14 = 6,770.94/x
  3. Step 3: Cross multiply
    12,407.70x = 18,595.14 × 6,770.94
  4. Step 4: Simplify right side
    12,407.70x = 125,906,577.23
  5. Step 5: Solve for x
    x = 125,906,577.23/12,407.70
  6. Step 6: Final answer
    x = 10,147.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.