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Finding the Fourth Proportional to 15,146, 20,901.26 and 8,431.62

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Solution

The fourth proportional to 15,146, 20,901.26 and 8,431.62 is: 11,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146 : 20,901.26 = 8,431.62 : x
  2. Step 2: Convert to fraction form
    15,146/20,901.26 = 8,431.62/x
  3. Step 3: Cross multiply
    15,146x = 20,901.26 × 8,431.62
  4. Step 4: Simplify right side
    15,146x = 176,231,335.18
  5. Step 5: Solve for x
    x = 176,231,335.18/15,146
  6. Step 6: Final answer
    x = 11,635.50

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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.