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Finding the Fourth Proportional to 15,184.80, 22,780.80 and 5,824.32

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Solution

The fourth proportional to 15,184.80, 22,780.80 and 5,824.32 is: 8,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,184.80 : 22,780.80 = 5,824.32 : x
  2. Step 2: Convert to fraction form
    15,184.80/22,780.80 = 5,824.32/x
  3. Step 3: Cross multiply
    15,184.80x = 22,780.80 × 5,824.32
  4. Step 4: Simplify right side
    15,184.80x = 132,682,669.06
  5. Step 5: Solve for x
    x = 132,682,669.06/15,184.80
  6. Step 6: Final answer
    x = 8,737.86

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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.