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Finding the Fourth Proportional to 7,726.52, 11,592.12 and 2,798.48

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Solution

The fourth proportional to 7,726.52, 11,592.12 and 2,798.48 is: 4,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.52 : 11,592.12 = 2,798.48 : x
  2. Step 2: Convert to fraction form
    7,726.52/11,592.12 = 2,798.48/x
  3. Step 3: Cross multiply
    7,726.52x = 11,592.12 × 2,798.48
  4. Step 4: Simplify right side
    7,726.52x = 32,440,315.98
  5. Step 5: Solve for x
    x = 32,440,315.98/7,726.52
  6. Step 6: Final answer
    x = 4,198.57

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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.