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Finding the Fourth Proportional to 12,594.52, 18,877.92 and 5,194.93

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Solution

The fourth proportional to 12,594.52, 18,877.92 and 5,194.93 is: 7,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.52 : 18,877.92 = 5,194.93 : x
  2. Step 2: Convert to fraction form
    12,594.52/18,877.92 = 5,194.93/x
  3. Step 3: Cross multiply
    12,594.52x = 18,877.92 × 5,194.93
  4. Step 4: Simplify right side
    12,594.52x = 98,069,472.95
  5. Step 5: Solve for x
    x = 98,069,472.95/12,594.52
  6. Step 6: Final answer
    x = 7,786.68

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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.