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Finding the Fourth Proportional to 7,101.10, 10,653 and 3,205.50

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Solution

The fourth proportional to 7,101.10, 10,653 and 3,205.50 is: 4,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.10 : 10,653 = 3,205.50 : x
  2. Step 2: Convert to fraction form
    7,101.10/10,653 = 3,205.50/x
  3. Step 3: Cross multiply
    7,101.10x = 10,653 × 3,205.50
  4. Step 4: Simplify right side
    7,101.10x = 34,148,191.50
  5. Step 5: Solve for x
    x = 34,148,191.50/7,101.10
  6. Step 6: Final answer
    x = 4,808.86

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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.