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Finding the Fourth Proportional to 7,310.58, 10,970.73 and 6,824.58

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Solution

The fourth proportional to 7,310.58, 10,970.73 and 6,824.58 is: 10,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.58 : 10,970.73 = 6,824.58 : x
  2. Step 2: Convert to fraction form
    7,310.58/10,970.73 = 6,824.58/x
  3. Step 3: Cross multiply
    7,310.58x = 10,970.73 × 6,824.58
  4. Step 4: Simplify right side
    7,310.58x = 74,870,624.54
  5. Step 5: Solve for x
    x = 74,870,624.54/7,310.58
  6. Step 6: Final answer
    x = 10,241.41

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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.