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Finding the Fourth Proportional to 12,614.56, 17,312.13 and 11,608.54

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Solution

The fourth proportional to 12,614.56, 17,312.13 and 11,608.54 is: 15,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.56 : 17,312.13 = 11,608.54 : x
  2. Step 2: Convert to fraction form
    12,614.56/17,312.13 = 11,608.54/x
  3. Step 3: Cross multiply
    12,614.56x = 17,312.13 × 11,608.54
  4. Step 4: Simplify right side
    12,614.56x = 200,968,510.31
  5. Step 5: Solve for x
    x = 200,968,510.31/12,614.56
  6. Step 6: Final answer
    x = 15,931.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.