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Finding the Fourth Proportional to 12,672.10, 17,487.66 and 7,006.78

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Solution

The fourth proportional to 12,672.10, 17,487.66 and 7,006.78 is: 9,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672.10 : 17,487.66 = 7,006.78 : x
  2. Step 2: Convert to fraction form
    12,672.10/17,487.66 = 7,006.78/x
  3. Step 3: Cross multiply
    12,672.10x = 17,487.66 × 7,006.78
  4. Step 4: Simplify right side
    12,672.10x = 122,532,186.33
  5. Step 5: Solve for x
    x = 122,532,186.33/12,672.10
  6. Step 6: Final answer
    x = 9,669.45

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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.