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Finding the Fourth Proportional to 12,461.70, 17,189.55 and 7,422.54

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Solution

The fourth proportional to 12,461.70, 17,189.55 and 7,422.54 is: 10,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.70 : 17,189.55 = 7,422.54 : x
  2. Step 2: Convert to fraction form
    12,461.70/17,189.55 = 7,422.54/x
  3. Step 3: Cross multiply
    12,461.70x = 17,189.55 × 7,422.54
  4. Step 4: Simplify right side
    12,461.70x = 127,590,122.46
  5. Step 5: Solve for x
    x = 127,590,122.46/12,461.70
  6. Step 6: Final answer
    x = 10,238.58

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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.