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Finding the Fourth Proportional to 12,491.76, 17,239.12 and 7,186.56

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Solution

The fourth proportional to 12,491.76, 17,239.12 and 7,186.56 is: 9,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.76 : 17,239.12 = 7,186.56 : x
  2. Step 2: Convert to fraction form
    12,491.76/17,239.12 = 7,186.56/x
  3. Step 3: Cross multiply
    12,491.76x = 17,239.12 × 7,186.56
  4. Step 4: Simplify right side
    12,491.76x = 123,889,970.23
  5. Step 5: Solve for x
    x = 123,889,970.23/12,491.76
  6. Step 6: Final answer
    x = 9,917.74

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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.