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Finding the Fourth Proportional to 6,971.19, 9,620.21 and 3,987.54

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Solution

The fourth proportional to 6,971.19, 9,620.21 and 3,987.54 is: 5,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.19 : 9,620.21 = 3,987.54 : x
  2. Step 2: Convert to fraction form
    6,971.19/9,620.21 = 3,987.54/x
  3. Step 3: Cross multiply
    6,971.19x = 9,620.21 × 3,987.54
  4. Step 4: Simplify right side
    6,971.19x = 38,360,952.25
  5. Step 5: Solve for x
    x = 38,360,952.25/6,971.19
  6. Step 6: Final answer
    x = 5,502.78

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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.