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Finding the Fourth Proportional to 28,101.92, 42,158.96 and 8,382.08

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Solution

The fourth proportional to 28,101.92, 42,158.96 and 8,382.08 is: 12,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,101.92 : 42,158.96 = 8,382.08 : x
  2. Step 2: Convert to fraction form
    28,101.92/42,158.96 = 8,382.08/x
  3. Step 3: Cross multiply
    28,101.92x = 42,158.96 × 8,382.08
  4. Step 4: Simplify right side
    28,101.92x = 353,379,775.44
  5. Step 5: Solve for x
    x = 353,379,775.44/28,101.92
  6. Step 6: Final answer
    x = 12,574.93

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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.