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Finding the Fourth Proportional to 10,573.73, 14,568.25 and 6,982.29

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Solution

The fourth proportional to 10,573.73, 14,568.25 and 6,982.29 is: 9,620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.73 : 14,568.25 = 6,982.29 : x
  2. Step 2: Convert to fraction form
    10,573.73/14,568.25 = 6,982.29/x
  3. Step 3: Cross multiply
    10,573.73x = 14,568.25 × 6,982.29
  4. Step 4: Simplify right side
    10,573.73x = 101,719,746.29
  5. Step 5: Solve for x
    x = 101,719,746.29/10,573.73
  6. Step 6: Final answer
    x = 9,620.04

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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.