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Finding the Fourth Proportional to 5,991.52, 8,274 and 5,664.28

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Solution

The fourth proportional to 5,991.52, 8,274 and 5,664.28 is: 7,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991.52 : 8,274 = 5,664.28 : x
  2. Step 2: Convert to fraction form
    5,991.52/8,274 = 5,664.28/x
  3. Step 3: Cross multiply
    5,991.52x = 8,274 × 5,664.28
  4. Step 4: Simplify right side
    5,991.52x = 46,866,252.72
  5. Step 5: Solve for x
    x = 46,866,252.72/5,991.52
  6. Step 6: Final answer
    x = 7,822.10

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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.