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Finding the Fourth Proportional to 14,562.80, 21,837.80 and 5,794.80

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Solution

The fourth proportional to 14,562.80, 21,837.80 and 5,794.80 is: 8,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.80 : 21,837.80 = 5,794.80 : x
  2. Step 2: Convert to fraction form
    14,562.80/21,837.80 = 5,794.80/x
  3. Step 3: Cross multiply
    14,562.80x = 21,837.80 × 5,794.80
  4. Step 4: Simplify right side
    14,562.80x = 126,545,683.44
  5. Step 5: Solve for x
    x = 126,545,683.44/14,562.80
  6. Step 6: Final answer
    x = 8,689.65

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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.