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Finding the Fourth Proportional to 7,101.50, 10,657.71 and 3,208.64

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Solution

The fourth proportional to 7,101.50, 10,657.71 and 3,208.64 is: 4,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.50 : 10,657.71 = 3,208.64 : x
  2. Step 2: Convert to fraction form
    7,101.50/10,657.71 = 3,208.64/x
  3. Step 3: Cross multiply
    7,101.50x = 10,657.71 × 3,208.64
  4. Step 4: Simplify right side
    7,101.50x = 34,196,701.33
  5. Step 5: Solve for x
    x = 34,196,701.33/7,101.50
  6. Step 6: Final answer
    x = 4,815.42

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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.