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Finding the Fourth Proportional to 10,237, 15,355.50 and 2,941

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Solution

The fourth proportional to 10,237, 15,355.50 and 2,941 is: 4,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237 : 15,355.50 = 2,941 : x
  2. Step 2: Convert to fraction form
    10,237/15,355.50 = 2,941/x
  3. Step 3: Cross multiply
    10,237x = 15,355.50 × 2,941
  4. Step 4: Simplify right side
    10,237x = 45,160,525.50
  5. Step 5: Solve for x
    x = 45,160,525.50/10,237
  6. Step 6: Final answer
    x = 4,411.50

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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.