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Finding the Fourth Proportional to 5,952.81, 8,214.89 and 3,300.24

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Solution

The fourth proportional to 5,952.81, 8,214.89 and 3,300.24 is: 4,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.81 : 8,214.89 = 3,300.24 : x
  2. Step 2: Convert to fraction form
    5,952.81/8,214.89 = 3,300.24/x
  3. Step 3: Cross multiply
    5,952.81x = 8,214.89 × 3,300.24
  4. Step 4: Simplify right side
    5,952.81x = 27,111,108.57
  5. Step 5: Solve for x
    x = 27,111,108.57/5,952.81
  6. Step 6: Final answer
    x = 4,554.34

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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.