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Finding the Fourth Proportional to 7,237, 10,855.50 and 1,765

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Solution

The fourth proportional to 7,237, 10,855.50 and 1,765 is: 2,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237 : 10,855.50 = 1,765 : x
  2. Step 2: Convert to fraction form
    7,237/10,855.50 = 1,765/x
  3. Step 3: Cross multiply
    7,237x = 10,855.50 × 1,765
  4. Step 4: Simplify right side
    7,237x = 19,159,957.50
  5. Step 5: Solve for x
    x = 19,159,957.50/7,237
  6. Step 6: Final answer
    x = 2,647.50

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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.