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Finding the Fourth Proportional to 12,677.88, 17,495.14 and 7,012.86

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Solution

The fourth proportional to 12,677.88, 17,495.14 and 7,012.86 is: 9,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.88 : 17,495.14 = 7,012.86 : x
  2. Step 2: Convert to fraction form
    12,677.88/17,495.14 = 7,012.86/x
  3. Step 3: Cross multiply
    12,677.88x = 17,495.14 × 7,012.86
  4. Step 4: Simplify right side
    12,677.88x = 122,690,967.50
  5. Step 5: Solve for x
    x = 122,690,967.50/12,677.88
  6. Step 6: Final answer
    x = 9,677.56

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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.