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Finding the Fourth Proportional to 12,496.77, 17,245.31 and 6,907.77

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Solution

The fourth proportional to 12,496.77, 17,245.31 and 6,907.77 is: 9,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.77 : 17,245.31 = 6,907.77 : x
  2. Step 2: Convert to fraction form
    12,496.77/17,245.31 = 6,907.77/x
  3. Step 3: Cross multiply
    12,496.77x = 17,245.31 × 6,907.77
  4. Step 4: Simplify right side
    12,496.77x = 119,126,600.52
  5. Step 5: Solve for x
    x = 119,126,600.52/12,496.77
  6. Step 6: Final answer
    x = 9,532.59

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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.