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Finding the Fourth Proportional to 7,205, 10,807.50 and 1,733

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Solution

The fourth proportional to 7,205, 10,807.50 and 1,733 is: 2,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205 : 10,807.50 = 1,733 : x
  2. Step 2: Convert to fraction form
    7,205/10,807.50 = 1,733/x
  3. Step 3: Cross multiply
    7,205x = 10,807.50 × 1,733
  4. Step 4: Simplify right side
    7,205x = 18,729,397.50
  5. Step 5: Solve for x
    x = 18,729,397.50/7,205
  6. Step 6: Final answer
    x = 2,599.50

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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.