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Finding the Fourth Proportional to 7,164.84, 9,887.68 and 4,021.14

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Solution

The fourth proportional to 7,164.84, 9,887.68 and 4,021.14 is: 5,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.84 : 9,887.68 = 4,021.14 : x
  2. Step 2: Convert to fraction form
    7,164.84/9,887.68 = 4,021.14/x
  3. Step 3: Cross multiply
    7,164.84x = 9,887.68 × 4,021.14
  4. Step 4: Simplify right side
    7,164.84x = 39,759,745.56
  5. Step 5: Solve for x
    x = 39,759,745.56/7,164.84
  6. Step 6: Final answer
    x = 5,549.29

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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.