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Finding the Fourth Proportional to 5,709.12, 8,568.56 and 4,069.68

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Solution

The fourth proportional to 5,709.12, 8,568.56 and 4,069.68 is: 6,108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.12 : 8,568.56 = 4,069.68 : x
  2. Step 2: Convert to fraction form
    5,709.12/8,568.56 = 4,069.68/x
  3. Step 3: Cross multiply
    5,709.12x = 8,568.56 × 4,069.68
  4. Step 4: Simplify right side
    5,709.12x = 34,871,297.26
  5. Step 5: Solve for x
    x = 34,871,297.26/5,709.12
  6. Step 6: Final answer
    x = 6,108.00

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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.