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Finding the Fourth Proportional to 28,524.54, 42,774.54 and 9,806.46

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Solution

The fourth proportional to 28,524.54, 42,774.54 and 9,806.46 is: 14,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,524.54 : 42,774.54 = 9,806.46 : x
  2. Step 2: Convert to fraction form
    28,524.54/42,774.54 = 9,806.46/x
  3. Step 3: Cross multiply
    28,524.54x = 42,774.54 × 9,806.46
  4. Step 4: Simplify right side
    28,524.54x = 419,466,815.53
  5. Step 5: Solve for x
    x = 419,466,815.53/28,524.54
  6. Step 6: Final answer
    x = 14,705.47

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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.