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Finding the Fourth Proportional to 6,571.44, 9,862.16 and 3,111.12

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Solution

The fourth proportional to 6,571.44, 9,862.16 and 3,111.12 is: 4,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.44 : 9,862.16 = 3,111.12 : x
  2. Step 2: Convert to fraction form
    6,571.44/9,862.16 = 3,111.12/x
  3. Step 3: Cross multiply
    6,571.44x = 9,862.16 × 3,111.12
  4. Step 4: Simplify right side
    6,571.44x = 30,682,363.22
  5. Step 5: Solve for x
    x = 30,682,363.22/6,571.44
  6. Step 6: Final answer
    x = 4,669.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.