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Finding the Fourth Proportional to 10,531, 15,796.50 and 3,235

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Solution

The fourth proportional to 10,531, 15,796.50 and 3,235 is: 4,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531 : 15,796.50 = 3,235 : x
  2. Step 2: Convert to fraction form
    10,531/15,796.50 = 3,235/x
  3. Step 3: Cross multiply
    10,531x = 15,796.50 × 3,235
  4. Step 4: Simplify right side
    10,531x = 51,101,677.50
  5. Step 5: Solve for x
    x = 51,101,677.50/10,531
  6. Step 6: Final answer
    x = 4,852.50

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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.