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Finding the Fourth Proportional to 7,098.96, 10,639.80 and 3,202.32

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Solution

The fourth proportional to 7,098.96, 10,639.80 and 3,202.32 is: 4,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.96 : 10,639.80 = 3,202.32 : x
  2. Step 2: Convert to fraction form
    7,098.96/10,639.80 = 3,202.32/x
  3. Step 3: Cross multiply
    7,098.96x = 10,639.80 × 3,202.32
  4. Step 4: Simplify right side
    7,098.96x = 34,072,044.34
  5. Step 5: Solve for x
    x = 34,072,044.34/7,098.96
  6. Step 6: Final answer
    x = 4,799.58

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1.5x scale

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.