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Finding the Fourth Proportional to 12,594.76, 18,892.20 and 3,829.65

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Solution

The fourth proportional to 12,594.76, 18,892.20 and 3,829.65 is: 5,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.76 : 18,892.20 = 3,829.65 : x
  2. Step 2: Convert to fraction form
    12,594.76/18,892.20 = 3,829.65/x
  3. Step 3: Cross multiply
    12,594.76x = 18,892.20 × 3,829.65
  4. Step 4: Simplify right side
    12,594.76x = 72,350,457.25
  5. Step 5: Solve for x
    x = 72,350,457.25/12,594.76
  6. Step 6: Final answer
    x = 5,744.49

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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.