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Finding the Fourth Proportional to 13,235, 18,264.30 and 7,646

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Solution

The fourth proportional to 13,235, 18,264.30 and 7,646 is: 10,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235 : 18,264.30 = 7,646 : x
  2. Step 2: Convert to fraction form
    13,235/18,264.30 = 7,646/x
  3. Step 3: Cross multiply
    13,235x = 18,264.30 × 7,646
  4. Step 4: Simplify right side
    13,235x = 139,648,837.80
  5. Step 5: Solve for x
    x = 139,648,837.80/13,235
  6. Step 6: Final answer
    x = 10,551.48

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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.