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Finding the Fourth Proportional to 7,066.31, 9,751.02 and 3,922.25

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Solution

The fourth proportional to 7,066.31, 9,751.02 and 3,922.25 is: 5,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.31 : 9,751.02 = 3,922.25 : x
  2. Step 2: Convert to fraction form
    7,066.31/9,751.02 = 3,922.25/x
  3. Step 3: Cross multiply
    7,066.31x = 9,751.02 × 3,922.25
  4. Step 4: Simplify right side
    7,066.31x = 38,245,938.20
  5. Step 5: Solve for x
    x = 38,245,938.20/7,066.31
  6. Step 6: Final answer
    x = 5,412.43

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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.