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Finding the Fourth Proportional to 11,302, 15,598.56 and 8,906.56

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Solution

The fourth proportional to 11,302, 15,598.56 and 8,906.56 is: 12,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302 : 15,598.56 = 8,906.56 : x
  2. Step 2: Convert to fraction form
    11,302/15,598.56 = 8,906.56/x
  3. Step 3: Cross multiply
    11,302x = 15,598.56 × 8,906.56
  4. Step 4: Simplify right side
    11,302x = 138,929,510.55
  5. Step 5: Solve for x
    x = 138,929,510.55/11,302
  6. Step 6: Final answer
    x = 12,292.47

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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.