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Finding the Fourth Proportional to 5,745.84, 8,622 and 5,701.92

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Solution

The fourth proportional to 5,745.84, 8,622 and 5,701.92 is: 8,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.84 : 8,622 = 5,701.92 : x
  2. Step 2: Convert to fraction form
    5,745.84/8,622 = 5,701.92/x
  3. Step 3: Cross multiply
    5,745.84x = 8,622 × 5,701.92
  4. Step 4: Simplify right side
    5,745.84x = 49,161,954.24
  5. Step 5: Solve for x
    x = 49,161,954.24/5,745.84
  6. Step 6: Final answer
    x = 8,556.10

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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.