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Finding the Fourth Proportional to 15,176.22, 20,943.20 and 8,461.71

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Solution

The fourth proportional to 15,176.22, 20,943.20 and 8,461.71 is: 11,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,176.22 : 20,943.20 = 8,461.71 : x
  2. Step 2: Convert to fraction form
    15,176.22/20,943.20 = 8,461.71/x
  3. Step 3: Cross multiply
    15,176.22x = 20,943.20 × 8,461.71
  4. Step 4: Simplify right side
    15,176.22x = 177,215,242.56
  5. Step 5: Solve for x
    x = 177,215,242.56/15,176.22
  6. Step 6: Final answer
    x = 11,677.17

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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.