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Finding the Fourth Proportional to 12,592.54, 18,888.92 and 3,827.46

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Solution

The fourth proportional to 12,592.54, 18,888.92 and 3,827.46 is: 5,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.54 : 18,888.92 = 3,827.46 : x
  2. Step 2: Convert to fraction form
    12,592.54/18,888.92 = 3,827.46/x
  3. Step 3: Cross multiply
    12,592.54x = 18,888.92 × 3,827.46
  4. Step 4: Simplify right side
    12,592.54x = 72,296,585.74
  5. Step 5: Solve for x
    x = 72,296,585.74/12,592.54
  6. Step 6: Final answer
    x = 5,741.22

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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.