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Finding the Fourth Proportional to 8,492.49, 11,726.10 and 5,846.22

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Solution

The fourth proportional to 8,492.49, 11,726.10 and 5,846.22 is: 8,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.49 : 11,726.10 = 5,846.22 : x
  2. Step 2: Convert to fraction form
    8,492.49/11,726.10 = 5,846.22/x
  3. Step 3: Cross multiply
    8,492.49x = 11,726.10 × 5,846.22
  4. Step 4: Simplify right side
    8,492.49x = 68,553,360.34
  5. Step 5: Solve for x
    x = 68,553,360.34/8,492.49
  6. Step 6: Final answer
    x = 8,072.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.