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Finding the Fourth Proportional to 7,115.93, 9,820.28 and 3,971.51

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Solution

The fourth proportional to 7,115.93, 9,820.28 and 3,971.51 is: 5,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.93 : 9,820.28 = 3,971.51 : x
  2. Step 2: Convert to fraction form
    7,115.93/9,820.28 = 3,971.51/x
  3. Step 3: Cross multiply
    7,115.93x = 9,820.28 × 3,971.51
  4. Step 4: Simplify right side
    7,115.93x = 39,001,320.37
  5. Step 5: Solve for x
    x = 39,001,320.37/7,115.93
  6. Step 6: Final answer
    x = 5,480.85

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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.