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Finding the Fourth Proportional to 15,205.56, 22,795.02 and 6,446.76

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Solution

The fourth proportional to 15,205.56, 22,795.02 and 6,446.76 is: 9,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.56 : 22,795.02 = 6,446.76 : x
  2. Step 2: Convert to fraction form
    15,205.56/22,795.02 = 6,446.76/x
  3. Step 3: Cross multiply
    15,205.56x = 22,795.02 × 6,446.76
  4. Step 4: Simplify right side
    15,205.56x = 146,954,023.14
  5. Step 5: Solve for x
    x = 146,954,023.14/15,205.56
  6. Step 6: Final answer
    x = 9,664.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.