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Finding the Fourth Proportional to 15,200.84, 22,804.68 and 5,340.80

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Solution

The fourth proportional to 15,200.84, 22,804.68 and 5,340.80 is: 8,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.84 : 22,804.68 = 5,340.80 : x
  2. Step 2: Convert to fraction form
    15,200.84/22,804.68 = 5,340.80/x
  3. Step 3: Cross multiply
    15,200.84x = 22,804.68 × 5,340.80
  4. Step 4: Simplify right side
    15,200.84x = 121,795,234.94
  5. Step 5: Solve for x
    x = 121,795,234.94/15,200.84
  6. Step 6: Final answer
    x = 8,012.40

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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.