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Finding the Fourth Proportional to 10,573.70, 14,568.21 and 6,982.28

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Solution

The fourth proportional to 10,573.70, 14,568.21 and 6,982.28 is: 9,620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.70 : 14,568.21 = 6,982.28 : x
  2. Step 2: Convert to fraction form
    10,573.70/14,568.21 = 6,982.28/x
  3. Step 3: Cross multiply
    10,573.70x = 14,568.21 × 6,982.28
  4. Step 4: Simplify right side
    10,573.70x = 101,719,321.32
  5. Step 5: Solve for x
    x = 101,719,321.32/10,573.70
  6. Step 6: Final answer
    x = 9,620.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.