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Finding the Fourth Proportional to 7,065, 10,597.50 and 2,201

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Solution

The fourth proportional to 7,065, 10,597.50 and 2,201 is: 3,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065 : 10,597.50 = 2,201 : x
  2. Step 2: Convert to fraction form
    7,065/10,597.50 = 2,201/x
  3. Step 3: Cross multiply
    7,065x = 10,597.50 × 2,201
  4. Step 4: Simplify right side
    7,065x = 23,325,097.50
  5. Step 5: Solve for x
    x = 23,325,097.50/7,065
  6. Step 6: Final answer
    x = 3,301.50

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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.