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Finding the Fourth Proportional to 12,677.53, 17,494.65 and 7,012.12

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Solution

The fourth proportional to 12,677.53, 17,494.65 and 7,012.12 is: 9,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.53 : 17,494.65 = 7,012.12 : x
  2. Step 2: Convert to fraction form
    12,677.53/17,494.65 = 7,012.12/x
  3. Step 3: Cross multiply
    12,677.53x = 17,494.65 × 7,012.12
  4. Step 4: Simplify right side
    12,677.53x = 122,674,497.68
  5. Step 5: Solve for x
    x = 122,674,497.68/12,677.53
  6. Step 6: Final answer
    x = 9,676.53

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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.